Archbishop Lefebvre, excerpts from statement on the New Mass and the Pope, 8th November, 1979:
Let us now pass to a second but no less important subject: does the Church have a true Pope or an impostor on the Throne of St. Peter? Happy are those who have lived and died without having to pose such a question! One must indeed recognize that the pontificate of Paul VI posed, and continues to pose, a serious problem of conscience for the faithful. Without reference to his culpability for the terrible demolition of the Church which took place under his pontificate, one cannot but realize that he hastened the causes of that decline in every domain. One can fairly ask oneself how it was possible that a successor of Peter can, in so little time, have caused more damage to the Church than the French Revolution.
Some precise facts, such as the signatures which he gave to Article VII in the Instruction concerning the New Mass, and to the Declaration on Religious Liberty, are indeed scandalous and have led certain traditionalists to affirm that Paul VI was heretical and thus no longer Pope. They argue further that, chosen by a heretical Pope, the great majority of the cardinals are not cardinals at all and thus lacked the authority to elect another Pope. Pope John Paul I and Pope John Paul II were thus, they say, illegitimately elected. They continue that it is inadmissible to pray for a pope who is not Pope or to have any "conversations" (like mine of November 1978) with one who has no right to the Chair of Peter.
As with the question of the invalidity of the Novus Ordo, those who affirm that there is no Pope over-simplify the problem. The reality is more complex. If one begins to study the question of whether or not a Pope can be heretical, one quickly discovers that the problem is not as simple as one might have thought. The very objective study of Xaverio de Silverira on this subject demonstrates that a good number of theologians teach that the Pope can be heretical as a private doctor or theologian but not as a teacher of the Universal Church. One must then examine in what measure Pope Paul VI willed to engage in infallibility in the diverse cases where he signed texts close to heresy if not formally heretical...
The visibility of the Church is too necessary to its existence for it to be possible that God would allow that visibility to disappear for decades. The reasoning of those who deny that we have a Pope puts the Church in an inextricable situation. Who will tell us who the future Pope is to be? How, as there are no Cardinals, is he to be chosen? This spirit is a schismatical one for at least the majority of those who attach themselves to certainly schismatical sects like Palmar de Troya, the Eglise Latine de Toulouse, and others.
Our Fraternity absolutely refuses to enter into such reasonings...
And so, far from refusing to pray for the Pope, we redouble our prayers and supplications that the Holy Ghost will grant him light and strength in his affirmations and defense of the Faith...
Consequently, the Society of St. Pius X, its priests, brothers, sisters, and oblates, cannot tolerate among its members those who refuse to pray for the Pope or affirm that the Novus Ordo Missae is per se invalid. Certainly, we suffer from this continual incoherence which consists in praising all the Liberal orientations of Vatican II and at the same time straining to mitigate its effects. But all of this must incite us to prayer and to the firm maintenance of Tradition rather than to the affirmation that the Pope is not the Pope.