Growing up Christian I heard that a variety of ideas, positions, and practices are incompatible with Christianity, such as:
voting for Democrats
animal rights activism
Philosophy (yes, as a discipline)
I accept some of the things on this list, I don't accept others, but that's not the point. The point is:
If you insist that certain things are incompatible with Christianity, you better be damn well sure that you're right. Because when you force a person to choose between two beloved concepts, you may not like the one they choose to stand by.