Salvation through Jesus ONLY happens if you’re a Catholic. Just a few examples of this teaching:
Saint Augustine (died A.D. 430):
“No man can find salvation except in the Catholic Church. Outside the Catholic Church one can have everything except salvation. One can have honor, one can have the sacraments, one can sing alleluia, one can answer amen, one can have faith in the name of the Father and of the Son and of the Holy Ghost, and preach it too, but never can one find salvation except in the Catholic Church.” (Sermo ad Caesariensis Ecclesia plebem)
Saint Fulgentius (died A.D. 533):
“Most firmly hold and never doubt that not only pagans, but also all Jews, all heretics, and all schismatics who finish this life outside of the Catholic Church, will go into the eternal fire prepared for the devil and his angels.” (Enchiridion Patristicum)
Saint Bede the Venerable (died A.D. 735):
“Just as all within the ark were saved and all outside of it were carried away when the flood came, so when all who are pre-ordained to eternal life have entered the Church, the end of the world will come and all will perish who are found outside.” (Hexaemeron)
Saint Thomas Aquinas (died A.D. 1274):
“There is no entering into salvation outside the Church, just as in the time of the deluge there was none outside the ark, which denotes the Church.” (Summa Theologiae)