From Sean Johson, replying to Lad's post above:
Yes, the counterfeit conciliar church represents a substantial break with the Catholic Church, and this is easily demonstrated:1) It is different in its four causes (material, formal, efficient, and final);
2) It is predicated upon a new ecclesiology, directly contradictory to that taught by Pope Pius XII (Mystici Corporis Christii);
3) It has its own morals and doctrine, many of which contradict previous and obligatory de fire articles of faith;
4) It has its own sacraments, rites, and priesthood, all understood in a different (or even condemned) way by the preconciliar magisterium; the divergence is accentuated by the new religions’ own vestments;
5) It professes a new concept of sanctity, by which it “canonizes” its own “saints;”
6) It has its own canon law, to enforce its new ecclesiology;
7) And finally, all these novelties smother (or flatly reject) the real Catholicism which precedes it.
As a result of this, clearly the notion of +Fellay that “the official Church is the Catholic Church. Period.” is nonsense and theologically unsustainable.
It places the SSPX (and all those even more entangled in conciliarism, such as indult groups) in communion with a false church.
The SSPX has for several years rejected the notion of distinct churches (one conciliar and one Catholic) joined together by a pope (ie., Avrille’s “one pope for two churches”). Whatever one thinks of the theological viability of that theory (which I myself ascribed to for many years, until recently), it is no longer sustainable -if it ever was- since the advent of Francis, as the theory was predicated upon a true pope holding the two distinct churches together (representing the Catholic Church when he taught truth, and the conciliar church when he taught novelty).
But when Francis became a public heretic, thereby losing membership in the Catholic Church (itself a prerequisite for being pope), the two churches became entirely distinct and separate, with Francis continuing to represent the conciliar church, but no longer representing the Catholic Church.
They are indeed two opposed religions.