Competition is always a good thing. It forces us to do our best. A monopoly renders people complacent and satisfied with mediocrity.
Homeschoolers are the ultimate do-it-yourselfers. They are self-motivated and self-directed, independent-minded and creative. They are not content to turn their education of their children over to the government.
Modern secular thought has its own dualism: It treats only the physical world as knowable and testable, while locking everything else - mind, spirit, morality, meaning - into the realm of private, subjective feelings. The so-called fact/value split.
Schools ought to teach students to challenge secular ideologies masquerading as science in the classroom.
If pro-abortionists want to commit intellectual suicide and deny scientific facts, that's their problem. But there's no reason a civilized society should fund their anti-scientific outlook - or accept its inhumane consequences.