In any case private schools will always perform better than public schools because they can be selective with who they admit. A handful of very bad students can easily derail the education of an entire class, and in public schools it can be somewhat difficult to get rid of these kids. And so I do think things like education vouchers, tax rebates, and other incentives to allow more middle and lower class families access to private education is a very good thing.
Lastly, on the woke stuff. Would you be happy if your child was taught creationism and intelligent design? Probably not. Why? Because it'd be ideologically motivated, rather than educationally motivated. If people want to teach their children that in their own time - more power to them, but it has no place in the classroom. And I'd feel exactly the same if my children were taught that e.g. math is racist, or the contemporary 'reimaginings' of history that mix critical theory and contemporary values, and retrofit them into the past in an antagonistic fashion. We went from a real problem of white washing history, to just inventing these sordid tales that are even further off base.
[1] - https://databank.worldbank.org/indicator/UIS.XGDP.1.FSGOV?id...
[2] - https://ncea.org/NCEA/NCEA/How_We_Serve/News/Press_Releases/...