I'm also not sure why you single out doctors who believe?
It's even more naive to follow arbitrary rules in hope those rules came from some god and hoping that your way in believing is the right way.
If there is ever a god I will either go to 'heaven' (why would I want that though?!) or that god can fuck itself.
I'm good to others I don't need to pray. And funny enough I bet there are plenty of god worshippers who had kids who died and no prayer made a difference while in parallel there are other people who believe their prayers were heard and got a good grade at school or whatever.