The Jehovah's Witness parent/child blood transfusion issue has already been resolved in Canada. Probably also in the U.S.A. The parent does NOT have the right to deny medically necessary treatment to the child. The basic issues are consent and conflict.
YOU don't have the right to stop ME from sticking medically necessary needles into YOUR child. (Of course, I could have said that I don't have the right to stop you from sticking medically necessary needles into my child, but it sounds better the way I said it first.)
I didn't read the article Lanya quoted from but I've seen the same kind of issue pop up elsewhee (AIDS prevention vs condom use, for example) and I've seen all too often that the religious right gets its way at the expense of the innocent victims of various diseases. I'm sure Lanya misrepresented absolutely nothing. That's just the way Repubicans are. They will always cave to the religious right where public health is concerned. They just don't give a shit, not when their ability to dictate how others must live is at stake.