I love ya, man, but you are way off on this.
The Republic was formed by folks who assumed that families could be entrusted with management with their own affairs, including education. Of course, today we are about a billion light years removed from such an idea.
However, some of us actually hold on to that ideal and are willing to pay the price.
Compulsory public education in this country was modeled off the "Prussian system."
Do a web search on John Taylor Gatto for details.