We aren't talking about fine points of evolution, we are talking about the earth being older than mankind at all.
Parents should always have the final say in what their children are being taught, even if it’s patently unscientific. Anything else feels like an incredibly slippery slope of, “Daddy Government knows what’s best for your kids better than you do, so we’re chipping away at your parental rights until we can save your child from your non-governmentally approved ideas!”
What happens when the government decides to teach nonsense?
There is nothing magical about the state that makes it a better arbiter of truth than other institutions. Historically states have a pretty poor record. They tend to push ideas that benefit the people who control them, whether that’s a nobility or a majority faction in the electorate (or both).
Essentially everyone in America agrees with you. This is written into our Constitution.
> It is not the responsibility of the state, in any way, shape, or form, to dictate information to a child that the parents take issue with
This is an impossible standard. We have to make public schooling available, and we can't provide individual tutors for every student, so they must be taught in groups. This guarantees that some students will be taught things that their parents take issue with. To compensate for this we make some escape hatches available like homeschooling, private schooling, or moving to a different school district, but these are all difficult or impossible for most parents. Some schools have offered to let parents take their kids out of class when certain topics are taught, but this approach can't scale to all subjects and topics. It also can't address parents upset about what their child is NOT being taught.
I'm not aware of any educational model that gives all parents complete control over their children's education.
No school curriculum will ever be 100% satisfactory to 100% of people, but I believe that the state has no obligation to enforce a certain educational model simply because it is “correct”. That probably sounds a bit silly, but I just believe that people have the right to believe and teach ideas that run counter to the state-approved message, even if the state is empirically correct.
School does not occupy all the time of a child. If a school teaches something parents disagree with, parents can debunk that when the kids are home. They can bring arguments and kids will eventually make up their own minds.
Homeschooling presents a single view, that of the parents. There is no debate.