You have completely passed over the point, that the worst public education available is substaintially more expensive than the best private education, including horsebackriding and whitewater rafting.
Still want your kids in public school?
And no child of mine has ever gone to a public school. I paid the price for a better education, but it shouldn't have to be that way. In fact, it can't be that way for 99% of us.
Take a look at Chris Whittle's book Crash Course. It's full of ideas. If you don't like some of them, you might like others.