But it's clearly a biblical one also: I. "Then will appear the sign of the Son of Man in heaven. And then all the peoples of the earth will mourn when they see the Son of Man coming on the clouds of heaven, with power and great glory. And he will send his angels with a loud trumpet call, and they will gather his elect from the four winds, from one end of the heavens to the other. (...) That is how it will be at the coming of the Son of Man. Two men will be in the field; one will be taken and the other left. Two women will be grinding with a hand mill; one will be taken and the other left." (Mt. 24) - II. "For the Lord Himself will descend from heaven with a shout, with the voice of an archangel, and with the trumpet of God. And the dead in Christ will rise first. Then we who are alive and remain shall be caught up together with them in the clouds to meet the Lord in the air. And thus we shall always be with the Lord." (I Thes. 4) - III. "Behold, I tell you a mystery: We shall not all sleep, but we shall all be changed in a moment, in the twinkling of an eye, at the last trumpet. For the trumpet will sound, and the dead will be raised incorruptible, and we shall be changed. For this corruptible must put on incorruption, and this mortal must put on immortality." (I Cor. 15)

For there to be heresy there must be persistent denial of a dogma of faith, which is not the case here. At most, there could be a misinterpretation of the biblical verses cited above. The notion of the rapture is coherent and logical, since God has not destined us to be the object of his wrath, which is reserved for the wicked, accomplices of the antichrist. And it is analogous to Noah's ark, through which God preserved Noah and his family from the punishment of the wicked through the flood of water. When the Day of the Lord comes, He will save us from the flood of fire by taking us into the clouds with Him...

No, Super Omnia, the Blessed Virgin when she has appeared has made it very clear, the good as well as the wicked will suffer - will suffer to the point of envying the dead. We must accept the cross, as did Jesus.

That we will suffer the great tribulation at the hands of the antichrist is something that Our Lord clearly warned us about in the discourse on the Mount of Olives. What we will not suffer, however, is the divine wrath, after the great tribulation, towards the end of the 70th week of Daniel - that is, of the Apocalypse - whose only recipients will be the wicked who had submitted to the antichrist, had received the mark of the beast and had been accomplices - active or passive - in the persecution of the Christians martyred by the antichrist and the false prophet.
"And take heed to yourselves, lest at any time your hearts be overcharged with surfeiting, and drunkenness, and cares of this life, and so that day come upon you unawares. For as a snare shall it come on all them that dwell on the face of the whole earth. Watch ye therefore, and pray always, that ye may be accounted worthy to escape all these things that shall come to pass, and to stand before the Son of man." Luke 21, 34-36.
"But you, brothers and sisters, are not in darkness so that this day should surprise you like a thief. You are all children of the light and children of the day. We do not belong to the night or to the darkness. So then, let us not be like others, who are asleep, but let us be awake and sober. For those who sleep, sleep at night, and those who get drunk, get drunk at night. But since we belong to the day, let us be sober, putting on faith and love as a breastplate, and the hope of salvation as a helmet. For God did not appoint us to suffer wrath but to receive salvation through our Lord Jesus Christ." I Thes. 5, 4-9.
"These are the words of him who is holy and true, who holds the key of David. What he opens no one can shut, and what he shuts no one can open. I know your deeds. See, I have placed before you an open door that no one can shut. I know that you have little strength, yet you have kept my word and have not denied my name. I will make those who are of the synagogue of Satan, who claim to be Jews though they are not, but are liars - I will make them come and fall down at your feet and acknowledge that I have loved you. Since you have kept my command to endure patiently, I will also keep you from the hour of trial that is going to come on the whole world to test the inhabitants of the earth." Ap. 3, 7-10.
"At that time shall arise Michael, the great prince who has charge of your people. And there shall be a time of trouble, such as never has been since there was a nation till that time. But at that time your people shall be delivered, everyone whose name shall be found written in the book. And many of those who sleep in the dust of the earth shall awake, some to everlasting life, and some to shame and everlasting contempt. And those who are wise shall shine like the brightness of the sky above; and those who turn many to righteousness, like the stars forever and ever." Dn. 12, 1-3.
"Wherefore if they shall say unto you, Behold, he is in the desert; go not forth: behold, he is in the secret chambers; believe it not. For as the lightning cometh out of the east, and shineth even unto the west; so shall also the coming of the Son of man be. For wheresoever the carcase is, there will the eagles be gathered together. Immediately after the tribulation of those days shall the sun be darkened, and the moon shall not give her light, and the stars shall fall from heaven, and the powers of the heavens shall be shaken: And then shall appear the sign of the Son of man in heaven: and then shall all the tribes of the earth mourn, and they shall see the Son of man coming in the clouds of heaven with power and great glory. And he shall send his angels with a great sound of a trumpet, and they shall gather together his elect from the four winds, from one end of heaven to the other." Mt. 24, 26-31. (After the Tribulation suffered from the Antichrist and before the Wrath of God comes over him and his minions we shall be taken).

Suffering is not denied, on the contrary, since the sufferings inflicted by the antichrist will be suffered by the Christians living in these times. Of course, death is the wages of sin, and the general rule of this life. But it is St. Paul who has made it known to us that not all will die before the Second Coming:
"Listen, I tell you a mystery: We will not all sleep, but we will all be changed in a flash, in the twinkling of an eye, at the last trumpet. For the trumpet will sound, the dead will be raised imperishable, and we will be changed. For the perishable must clothe itself with the imperishable, and the mortal with immortality." I Cor. 15, 51-53.
"According to the Lord’s word, we tell you that we who are still alive, who are left until the coming of the Lord, will certainly not precede those who have fallen asleep. For the Lord himself will come down from heaven, with a loud command, with the voice of the archangel and with the trumpet call of God, and the dead in Christ will rise first. After that, we who are still alive and are left will be caught up together with them in the clouds to meet the Lord in the air. And so we will be with the Lord forever." I Thes. 4, 15-17
We know that the resurrection is not simultaneous thanks to the prophet Daniel, speaking of what will happen in the 70 week:
"At that time shall arise Michael, the great prince who has charge of your people. And there shall be a time of trouble, such as never has been since there was a nation till that time. But at that time your people shall be delivered, everyone whose name shall be found written in the book. And many of those who sleep in the dust of the earth shall awake, some to everlasting life, and some to shame and everlasting contempt. And those who are wise shall shine like the brightness of the sky above; and those who turn many to righteousness, like the stars forever and ever." Dn. 12, 1-3.
Saint John also spoke about that in the Apocalypse:
"I saw thrones on which were seated those who had been given authority to judge. And I saw the souls of those who had been beheaded because of their testimony about Jesus and because of the word of God. They had not worshiped the beast or its image and had not received its mark on their foreheads or their hands. They came to life and reigned with Christ a thousand years. The rest of the dead did not come to life until the thousand years were ended. This is the first resurrection. Blessed and holy are those who share in the first resurrection. The second death has no power over them, but they will be priests of God and of Christ and will reign with him for a thousand years." Ap. 20, 4-6.
Saint Paul has revealed the same mystery to us in the fourth chapter of his first epistle to the Thessalonians:
"For the Lord himself will come down from heaven, with a loud command, with the voice of the archangel and with the trumpet call of God, and the dead in Christ will rise first."
Finally, it is certain that the millennial Messianic Kingdom shall be immediately preceded by the Judgment of the Nations or "Dies irae" -God's wrath over the wicked/ennemies of God-, within the event of the Second Coming of Our Lord, as it is recounted in chapter 19 of the Apocalypse:
"Then I saw heaven opened, and behold, a white horse! The one sitting on it is called Faithful and True, and in righteousness he judges and makes war. His eyes are like a flame of fire, and on his head are many diadems, and he has a name written that no one knows but himself. He is clothed in a robe dipped in blood, and the name by which he is called is The Word of God. And the armies of heaven, arrayed in fine linen, white and pure, were following him on white horses. From his mouth comes a sharp sword with which to strike down the nations, and he will rule them with a rod of iron. He will tread the winepress of the fury of the wrath of God the Almighty. On his robe and on his thigh he has a name written, King of kings and Lord of lords."