Regardless of what indoctrination you happen to prefer, indoctrination is indoctrination.
Almost by definition, the indoctrination will go against the wishes of the majority of parents. Why bother to indoctrinate kids into what their parents have already taught them? If all parents taught their kids that boys can choose to be girls, and that girls who don't want those self-proclaimed girls with penises in the shower with them are evil bigots, and that white people of today are keeping a system of racism in place for their own benefit and that children are as guilty as their parents, the schools could focus on basic Marxist ideology instead of those things.
The fact that the public schools and the unions run them believe that parents teach their children wrongly is the motivator behind public schools teaching them LBGTQ+ and racial division instead of Math, Reading, Science and Civics. The whole society doesn't support that, only a highly agendized fraction of society that runs public schools supports that.
American people have not chosen to have their kids be uneducated, the educators that Americans trusted to educate them chose not to educate them.