we praise you for sending your Son
to be one of us and to save us.
Look upon your people with mercy,
for we are divided in so many ways,
and give us the Spirit of Jesus to make us one in love.
We ask this gift, loving Father,through Jesus Christ our Lord.
"that they may all be one; even as Thou,
Father, art in Me, and I in Thee,
that they also may be in Us;
that the world may believe
that Thou didst send Me." (John 17:21)
I - Catholic Encyclopedia on Schism:
The Catholic Encyclopedia has the following to say on the topic of schism. As its words apply to the groups that claim to be "restoring tradition" who are separated from the Apostolic See, the citation from the Encyclopedia speaks for itself:
Schism (from the Greek schisma, rent, division) is, in the language of theology and canon law, the rupture of ecclesiastical union and unity, i. e. either the act by which one of the faithful severs as far as in him lies the ties which bind him to the social organization of the Church and make him a member of the mystical body of Christ, or the state of dissociation or separation which is the result of that act. In this etymological and full meaning the term occurs in the books of the New Testament. By this name St. Paul characterizes and condemns the parties formed in the community of Corinth (I Cor., i, 12): "I beseech you, brethren", he writes, ". . . that there be no schisms among you; but that you be perfect in the same mind, and in the same judgment" (ibid., i, 10). The union of the faithful, he says elsewhere, should manifest itself in mutual understanding and convergent action similar to the harmonious co-operation of our members which God hath tempered "that there might be no schism in the body" (I Cor., xii, 25). Thus understood, schism is a genus which embraces two distinct species: heretical or mixed schism and schism pure and simple. The first has its source in heresy or joined with it, the second, which most theologians designate absolutely as schism, is the rupture of the bond of subordination without an accompanying persistent error, directly opposed to a definite dogma. This distinction was drawn by St. Jerome and St. Augustine. "Between heresy and schism", explains St. Jerome, "there is this difference, that heresy perverts dogma, while schism, by rebellion against the bishop, separates from the Church. Nevertheless there is no schism which does not trump up a heresy to justify its departure from the Church (In Ep. ad Tit., iii, 10). And St. Augustine: "By false doctrines concerning God heretics wound faith, by iniquitous dissensions schismatics deviate from fraternal charity, although they believe what we believe" (De fide et symbolo, ix). But as St. Jerome remarks, practically and historically, heresy and schism nearly always go hand in hand; schism leads almost invariably to denial of the papal primacy.
Schism, therefore, is usually mixed, in which case, considered from a moral standpoint, its perversity is chiefly due to the heresy which forms part of it. In its other aspect and as being purely schism it is contrary to charity and obedience; to the former, because it severs the ties of fraternal charity, to the latter, because the schismatic rebels against the Divinely constituted hierarchy. However, not every disobedience is a schism; in order to possess this character it must include besides the transgression of the commands of superiors, denial of their Divine right to command. On the other hand, schism does not necessarily imply adhesion, either public or private, to a dissenting group or a distinct sect, much less the creation of such a group. Anyone becomes a schismatic who, though desiring to remain a Christian, rebels against legitimate authority, without going as far as the rejection of Christianity as a whole, which constitutes the crime of apostasy.
Every Catholic has a right to the sacraments (cf. Code of Canon Law, canon 843), but he does not have a right to them according to the rite of his choice."