Supporting the ruling government is always conservative, so in China, the Communists are the conservatives. Modern socialism does not support the public ownership of the means of production, other than in areas in which the competitive forces of the market do not exist, like water, electricity, medicine, telecommunications, and the control or actual ownership of natural resources, such as minerals and hydrocarbons.
The main reason for homeschooling is NOT avoidance to the students being indoctrinated, since homeschooling tends to be for younger children, while the horrible propagandizing "Liberal" professors are at the university level. Of course, such evil minds are ineffective when up against geniuses like sirs, who resisted being indoctrinated by his professors of kinesiology and massage therapy. They only manage to indoctrinate lesser minds, that otherwise would be fundamentalists or Republicans.