How about you site some source and not from Tradition in Action or such outfits not in communion with the Vatican.
Here are just a few:
“Without this faith, no one can enter Heaven.” Saint Thomas Aquinas
“And he said to them: Go ye into the whole world, and preach the gospel to every creature. He that believeth and is baptized, shall be saved: but he that believeth not shall be condemned.” Mark 16:15-16
“He who will not willingly and humbly enter the gate of the Church will certainly be damned and enter the gate of hell whether he wants to or not.” … “Without this confession, without this faith, no one can enter the kingdom of God.” Saint Bede the Venerable O.S.B., Doctor
“By divine mandate the interpreter and guardian of the Scriptures, and the depository of Sacred Tradition living within her, the Church alone is the entrance to salvation: She alone, by herself, and under the protection and guidance of the Holy Spirit, is the source of truth.” Pope Pius XII
“If you die as an unbeliever, you will be damned and lost.” St. John Bosco
“Can we be saved in every religion? No, we can be saved only in the religion that Jesus Christ has taught. Where do we find this religion of Jesus Christ? We find it in the Roman Catholic Church.” St. John Neumann (died 1860)
“My children, why are there no Sacraments in other religions? Because there is no salvation there! We have the Sacraments at our disposal because we belong to the religion of salvation.” Saint John Marie Vianney (died 1859)
“Let no man deceive himself. Unless he believes that Christ Jesus has lived in the flesh, and shall confess His cross and passion, and the blood which He shed for the salvation of the world, he shall not attain eternal life, whether he be a king, or a priest, or a ruler, or a private person, a master or a servant, a man or a woman.” Saint Ignatius of Antioch
“All who do not confess Christ to be true God shall go into eternal fire.” Saint Martial of Limoges (died A.D. 165)
“We know that salvation belongs to the Church alone, and that no one can partake of Christ nor be saved outside the Catholic Church and the Catholic Faith.” Saint John Chrysostom, Doctor, (died A.D. 407)