I just don't get it...but I'll openly admit, I'm far less religious than the average bear and nowhere near as close as these folks. To be, it's a slam dunk...medicine!!!
I'm quite religious, and you'll never see me supporting this kind of thing. In fact, nobody I know would be in favor of going that route.
They call this a fundamentalist church, but I've never known any fundamentalist church to support denying medical treatment, especially to children. The only people I've ever really seen support this approach were cult members.
The idea that God teaches people not to go to doctors is utterly unsupported in the Bible. You have to twist Scripture to get that reading. It's especially ridiculous when you consider that the author of two books in the New Testament was a physician.