Not so fast on the Obamacare and school system pronouncements.
Doesn’t Obamacare have a government requirement to have health insurance or pay a tax. Legally speaking, either participate or break the law, right?
WRT school systems, a certain level of education is required which might be considered socialist if really stretching things, but government schooling is not required per se. One may choose to send their children to private or home school, but until the government forces public school attendance or face legal consequences, it is still a (rough) free market system.