But we do not believe that we are saved in the same manner.
That means someone is wrong, and someone is right. The one who is right will go to Heaven and harsh as it may sound, the one who is wrong is going to Hell.
Now if your family is headed for Hell, since they reject Catholic doctrine, wouldn't you want them to convert>
Because if you were my Catholic aunt, I'd want you to be a born again believer in Jesus Christ alone, no sacraments or works. Because I'd want you to be in Heaven with me.
I don't even know you and I still want that same thing for you.
As St. Thomas More, condemned to death by the the court of King Henry VIII, told his judges: "may we yet hereafter in heaven merrily all meet together to everlasting salvation."