I think it's an idea whose time has come. I mean, hospitals are not part of the government so there's no need for separation of church and hospital ;)

Actually, I like this idea- we should have multiple faith healers of different faiths as well.

Initial triage and diagnosis is performed as normal, but when it comes time for treatment, the patient is given the choice between a doctor, or a faith healer from one of many different religions/denominations.

Of course, we'll keep detailed records of how each patient progresses, so we can compare the performance of various faith healers vs that of doctors.

This will let us, in a controlled environment, determine which gods are actually performing miracles, settling one huge question definitively, and allowing followers of other religions to get on the right path (or one of the right paths). This could potentially put an end to religious strife! Not just that, we'll be able to finally determine whether scientific medicine is a viable alternative to faith healing! Everybody wins!