A very interesting topic. It seems that Archbishop Lefebvre was much stronger in his thinking that the "conciliar church" was not Catholic, than the current leaders. It would be interesting to compare this statement with the views of the current SSPX leadership.
Archbishop Lefebvre, June 29, 1976:
“The Conciliar Church is a schismatic Church, because it breaks with the Catholic Church that has always been. It has its new dogmas, its new priesthood, its new institutions, its new worship, all already condemned by the Church in many a document, official and definitive.
“This Conciliar Church is schismatic, because it has taken as a basis for its updating, principles opposed to those of the Catholic Church, such as the new concept of the Mass expressed in numbers 5 of the Preface to (the decree) Missale Romanum and 7 of its first chapter, which gives the assembly a priestly role that it cannot exercise; such likewise as the natural — which is to say divine — right of every person and of every group of persons to religious freedom.
“This right to religious freedom is blasphemous, for it attributes to God purposes that destroy His Majesty, His Glory, His Kingship. This right implies freedom of conscience, freedom of thought, and all the Masonic freedoms.
“The Church that affirms such errors is at once schismatic and heretical. This Conciliar Church is, therefore, not Catholic. To whatever extent Pope, bishops, priests or faithful adhere to this new Church, they separate themselves from the Catholic Church.”