The issue isn't legalities or "rights" here - this is mainly a interpersonal matter that is outside of legal issues. I simply can't make a rule which will fit all circumstances. In general, the wishes of parents are to be respected. However there are cases where someone might do something that a parent may disapprove of - I can't cite a proof example but it's simply saying that a simple rule can't govern all the complexities of life and that
sometimes a general rule might have to be broken for some purpose. It's debatable whether or not this represents one of those examples but the key point isn't parental rights vs. government but rather how do we deal with highly exceptional circumstances on a practical level - and ideology of whatever form simply can't help much in those places.
Ideology is helpful in the normal course of events because it allows us to make good decisions under normal or common circumstance. It usually isn't built for handling the exceptions and I think much of the angst comes from attempting to apply an ideological standard for a situation that's outside the normal bounds.