Here are doctors who've implicitly took an oath to be superstitious and peddle the post hoc ergo propter hoc fallacy.
Needless to say the site is unabashedly blatantly biased. It publishes only those cases where there was prayer somewhere in the patient history after which the patient got better. So what may we ask about those who had the same condition and did have prayer (whatever kind and to whichever deity) but did not get well or even got worse? And what about those who had the same condition who didn't pray but whose condition improved? Moreover, what about the various medical treatments and procedures which the patients were undergoing at the time invisible genies somewhere in the universe or outside the universe were being dialed up? Would the patients have recovered without them? If prayer is a or the panacea and is effective against such a wide spectrum of diseases and medical conditions, why don't these God-intoxicated doctors just turn their cases over to Doc Jesus and have him snap his fingers and make them well? Just replace all doctors in their hospital or clinic with faith healers. If prayer is indeed efficacious then decommision the pharmaceutical industry and have MDs change careers. You don't even need diagnostics of any kind. Scrap all the equipment for X-ray, CAT scans, MRIs, PET scans, blood exams, etc. Just tell people to pray or head on over to the nearest healing priest/pastor/shaman the minute they feel something wrong. It's that simple if prayer really works. It doesn't work that way? Why? How do you know? What makes you think this (peri)omnipotent, (peri)omniscient deity of yours needs your help?
In Neil DeGrasse Tyson's Amazing Meeting 6 talk he declared that doctors are far from being smart. I thought that was a rather unfair blanket statement. Well, I apologize to Tyson. I'm beginning to think he may very well be right after all. Of course, there are doctors who can actually think critically (the skeptics community has a number of them--Steven Novella, Stephen Barret, Harriet Hall, David Gorski) but there really are lots of MDs who don't have their heads screwed on right at all and buy into cockamamie alternative medicine crap out there, including one of the most ridiculous--homeopathy.