Avira, so you agree with that former Governor of VA …
according to my reading of Bava Basra history of Jewish school during 2nd Beis Hamikdash (and some others too), preferred way would be to have fathers teaching sons; when they are not able to, then the best would be for most holy teachers (Cohanim in Yerushalim in Gemora) to teach them – while still generally living at home (fathers are supposed to bring them). When that is not working, use regional yeshivos, and last resort that works universally is the current system of local yeshivos.
Yes, this system helps to keep the bottom from falling down, as designed, but let’s not pretend that this is the best way to raise kids.