I think it's less about what you believe and more about how you are as a person.
Now I'm living in a divided home, I see that my husband has respect for my beliefs, although doesn't share them and will talk and discuss stuff with me.
I've yet to see how this could pan out if the children needed a blood transfusion for example.
So I dont feel it's vital that you share the same beliefs, although that's good and another common interest, but I do think it's vital you understand, respect and dont try to change the other person.
Poppy