“So, who has jurisdiction?”
It’s not our decision, but His decision.
As to your question, you are very right. The muslims and the Christians and the buddhists cannot all be right. They could all be wrong, or one of them is right.
Christians believe that we are right because Jesus of Nazareth, who died on the cross, and that he resurrected from the dead three days later. Even the Jews who disagree with us on this point, agree that his tomb was empty.
So somehow a man who was dead for three days, wrapped in his burial linens, with 50 pounds of spices, left those spices and the linens behind.
I just think we should all agree that it is great we live in a country where we can have any religion or none.
And he died and arose from the dead so that Catholics who believe in him, but not non-Catholics who believe in him, can go to heaven?