The expression “Conciliar Church” gives rise to much confusion. For instance, how can the Catholic Church, the spotless Bride of Christ (Eph.V, 27), be stained with the new man-centred religion of Vatican II, i.e. Conciliarism? Yet Our Lord founded only one Church, so if the “Conciliar Church” is not Catholic, there must be two Churches, a Conciliar Church and a Catholic Church? Impossible.
Indeed there are not two Churches. There is only the one Church of Our Lord Jesus Christ, and that is the Catholic Church. But this Catholic Church is embodied in human beings who are necessarily imperfect. Our Lord instituted it to save not angels or animals, but exclusively us poor human beings who tend by ourselves, because of original sin, only to fall further and further away from Heaven and from God.
So the Catholic Church always has two aspects: divine by its origin or beginning (Jesus Christ) and by its end (bringing souls to Heaven), it is, in between, also necessarily human, by its involvement in amongst the human beings it came to save. Therefore as there must be human beings inside the Church, so too there will always be imperfections inside the Church, sometimes very visible, but these imperfections will still be incapable of staining the Bride of Christ, spotless in herself.
Now Conciliarism, as the new religion of Vatican II putting man in the place of God, is error and imperfection, purely human, in no way divine. So the expression “Conciliar Church” means the Catholic Church in its purely human and imperfect aspect, the Church as disfigured by modern man organising Vatican II to put himself in the place of God. Yet the divine Church remains stainless beneath all the disfigurement, as if it were a kingfisher swooping down on a lake to pick up a fish and fly again heavenward, flicking off as it flies any water it momentarily picked up.
Then there are two Churches? No way. There is only the one immaculate Bride of Christ. Then does the expression “Conciliar Church” have no real meaning? Alas, it names an all too real reality. It names all those members and structures of the one true Church as caught up in the toils of the subtle errors of Vatican II, and as tending all the time to be taken out of the true Church by those errors. This is the “Conciliar Church” from which Archbishop Lefebvre did not mind being “excommunicated,” because, as he said, he never belonged to it in the first place.