So which Catholic church is the correct one?
Pope Leo XIII, Satis Cognitum (# 9): "The practice of the Church has always been the same, as is shown by the unanimous teaching of the Fathers, who were wont to hold as outside Catholic communion, and alien to the Church, whoever would recede in the least degree from any point of doctrine proposed by her authoritative Magisterium." Satis Cognitum (# 9): June 29, 1896:
http://www.vatican.va/holy_father/leo_xiii/encyclicals/documents/hf_l-xiii_enc_29061896_satis-cognitum_en.html
Pius 9, Quanto Conficiamur Moerore: "Also well known is the Catholic teaching that no one can be saved outside the Catholic Church. Eternal salvation cannot be obtained by those who oppose the authority and statements of the same Church and are stubbornly separated from the unity of the Church and also from the successor of Peter, the Roman Pontiff.."
-http://www.papalencyclicals.net/Pius09/p9quanto.htm
Pope Pius IX, Amantissimus: "There are other, almost countless, proofs drawn from the most trustworthy witnesses which clearly and openly testify with great faith, exactitude, respect and obedience that all who want to belong to the true and only Church of Christ must honor and obey this Apostolic See and Roman Pontiff." Pope Pius IX, Amantissimus (On The Care Of The Churches), Encyclical promulgated on April 8, 1862, # 3.
http://www.ewtn.com/library/ENCYC/P9AMANT2.HTM
Pope Pius IX (1846-1878), Encyclical Singulari Quidem March 17, 1856): "There is only one true, holy, Catholic Church, which is the Apostolic Roman Church. There is only one See founded on Peter by the word of the Lord, outside of which we cannot find either true faith or eternal salvation. He who does not have the Church for a mother cannot have God for a father, and whoever abandons the See of Peter on which the Church is established trusts falsely that he is in the Church. (On the Unity of the Catholic Church)
http://www.papalencyclicals.net/Pius09/p9singul.htm
Pope Pius XI, Mortalium Animos: Furthermore, in this one Church of Christ no man can be or remain who does not accept, recognize and obey the authority and supremacy of Peter and his legitimate successors. Did not the ancestors of those who are now entangled in the errors of Photius [the eastern "Orthodox" schismatics] and the reformers, obey the Bishop of Rome, the chief shepherd of souls?...Let none delude himself with obstinate wrangling. For life and salvation are here concerned..." Pope Pius XI, Mortalium Animos, PTC:873) The Promotion of True Religious Unity), 11, Encyclical promulgated on January 6, 1928, #11;
http://www.vatican.va/holy_father/pius_xi/encyclicals/documents/hf_p-xi_enc_19280106_mortalium-animos_en.html
St. Thomas Aquinas: It is also shown that to be subject to the Roman Pontiff is necessary for salvation. For Cyril says in his Thesaurus: "Therefore, brethren, if we imitate Christ so as to hear his voice remaining in the Church of Peter and so as not be puffed up by the wind of pride, lest perhaps because of our quarrelling the wily serpent drive us from paradise as once he did Eve." And Maximus in the letter addressed to the Orientals [Greeks] says: "The Church united and established upon the rock of Peter's confession we call according to the decree of the Savior the universal Church, wherein we must remain for the salvation of our souls and wherein loyal to his faith and confession we must obey him." — St. Thomas Aquinas, Against the Errors of the Greeks, Pt. 2, ch. 36
http://dhspriory.org/thomas/ContraErrGraecorum.htm#b38
And your point is?