Hi, mball. It is worth noting that they weren't members of any particular church - the father was the leader of his "prayer group" or whatever you want to call it, which only had about 4 or 5 members. That's not a religion as much as it is a cult. Ie. it seems he tried religion and it wasn't nutty enough for him so he decided to "do his own thing". Also worth noting is that in the part you mention from the article "The Bible says healing comes from God", it's the mother being quoted. I would be very surprised if the Bible actually says that, or condemns getting human assistance with sickness. I can't recall coming across anything like that myself, but even if it's in there somewhere I can almost guarantee that somewhere else there's something else that contradicts it. That's the Bible for you. "Open to interpretation."
I am inclined to think that maybe if these fools were actually members of a legitimate church someone in the congregation might have intervened, or at least tried to talk sense into them. I agree "religion" is not to blame here as much as pure effing mind-boggling ignorance with perhaps a touch of mental illness.
I would be inclined, though, to allocate a portion of the finger-pointing for those sodding "faith healers" that plague the US. If anything, it's not the Bible but these con artists that are putting the idea of miracle healing into people's heads. They're not getting that nonsense from the Bible either, unless they think they're Jesus, which wouldn't surprise me. Perhaps they'd rather have their flock donate generously into the collection plate than have them dishing out for medical bills?
Come to think of it, I wonder if the for-profit health care system down there might have some influence in that bizarre movement. I mean if people can't afford treatment anyway, it must be comforting to believe God will do it for free?