Huge topic here. I myself am an adamant supporter of home-schooling. I was a homeschooler and my kids will be also. The problem with society imposing it's will and infringing on private rights to advance a "common good", is that we can't agree as a society on what "good" means.
I think our failure to accurately define good can be attributed almost entirely to state-governed education and curricula. When the state owns education, it owns thought. He who owns thought determines good. He who determines good, does so on the basis of what is good for him, not others.
State education is entirely about what is best for the state, not what is best for our children and societies. It's never been about the "common good". It's always about advancing the governmental control and the "good" of the state. Government run education is the first step towards the loss of freedom and dictatorial rule. Just ask Hitler.
Caleballen, the fact of the matter is that "public schooling" is a monopoly. Competition is a sin, as one of the Rockefellers put it, and all the authoritarian sychophants nod their head in total agreement. Whether it be homeschooling or some private variant, any way to privatize the provision of educational services increases human liberty, period.