Capitalists don't WANT an educated population so they can exploit had working people. It's rare you'll find a right wing in a teaching position because capitalists make sure the pay is low enough to dissuade them. according to PEW institute, of our nations scientists, only 6% are Republican (read that as conservatives) Why? Because the thought processes required to actually create something isn't there.
So, who are the teachers teaching? It looks like the liberals, including the progressives, are willing to make the sacrifice to meet the state requirement to teach. To bring it into perspective, for the non-socialist faction to take up teaching, they'd have to become progressive or liberal. For that, you would need to double, or even triple, teachers' wages, even at the starting level. And then there's always the option of sending your child to the elite boarding schools paying tuition equal to that of a lot of full time workers.
But the education system you complain about is actually a socialist program anyway. Any wonder that socialism would be taught there?