You've been downvoted, probably due to the opinions/hopes in the last sentence. Many people strongly believe that government-funded education must be government-run.

I won't comment on those opinions, but what you've written earlier in the paragraph is broadly correct, at least in San Francisco.

However, private schools are not a panacea. Most of them still group kids by age and do not tailor content to each kid's level, or even do single-subject acceleration.