While I admire your continued effort to "both sides" every situation you can, this is a patently ridiculous analogy on multiple levels. First off, it equates religious belief with established science backed by decades of research by tens of thousands (hundreds of thousands? millions?) of people. Second, any society in which this scenario took place would be, by definition, a theocracy. Given the nasty habit that theocracies have of killing/imprisoning/punishing anyone they deem a heretic, there's no way I would ever advertise my rejection of their beliefs by telling them that I planned to pull my kids out of school to teach them evolution.
The reality is that it's in the interest of the state to have an educated populace, and if students are not going to be educated at state schools, then there needs to be some way of evaluating whether or not they are receiving a proper education. Obviously, a situation in which parents can get away with allowing their kids to sit around playing video games all day (as in the OP story - even discounting the abuse) is not acceptable.