Christine O'Donnell is batshit crazy

The government's role is to represent the majority without denying the minority. If the majority wants their government to act in a certain way, then the government is sort of obligated to act in that way, granted it is still fair to minorities. As it stands, our schools actually do teach person beliefs. For example, we teach the beliefs of the Untied States here in the states. I doubt many would say that people ought not to have rights, but it is still a personal belief.

Yes but the government is also adhered to not endorsing any religion regardless of the opinion of the people. And to fund any religious beliefs is unconstitutional because they'd be endorsing it. As well you're example doesn't work all that well considering the US has very split ideas. Seriously put a 1,000 Americans in a room and see if you can get them to agree on a single subject, it's not gonna happen.

As it stands, at least in my schooling, for controversial topics parents/students can opt out of learning them. For example, in my schooling, for sex ed, parents could decide if they wanted their children to learn about it. This allowed people who their children to learn about it, and it didn't force anyone to attend classes for it. In my class where our teacher taught Creationism/Evolution/Alien intervention theories he gave every student the choice of whether or not they wanted to be taught it, with the exception of evolution because that is state mandated for everyone to learn. No one opted out (and it wasn't because of the threat of harder work or anything). I feel he did a good job not teaching any of the subjects with a bias. He presented each topic as best he could with what believed and why they believed it.

Right so people in your example have the choice of either:
A. Teaching their children as they see fit
B. Letting the government provide a non-biased fact based education
If the parents want their children to be taught something that adheres to their beliefs then it is the parents who are responsible not the government nor the teachers.

I sort of just see it that they should figure out the general cost of public schooling and give vouchers for that. They can then decide to have completely free education at a public school with their voucher, or have it go to lowering the cost of a private school.

I'd figure something like: figure out the percentage of taxes that goes to public schools and use that as a discount to prices of a private schools with a tax refund in case the tuition for the private school is lower then the amount paid via taxes.