You repeat yourself rather than rendering an explanation of how you arrive at that conclusion. I don't see this as true. Help me understand.
...homeschooling is the most natural and healthiest way to rear a child...
This should be the case, but it not necessarily true. Some parents couldn't teach much because they don't know much. You are assuming that all parents are like you are even your parents. That is generally untrue. I know there are plenty of parents who would be unable to teach most any subject accurately or fluently.
I think perhaps that you do not agree with the notion that in order to have a situation that promotes decent self-governance we must have high literacy in the masses. People who can do basic arithmetic and read and write are far less likely to become a tax burden than those who do not have such skills. Surely you understand that there are many families who can barely make ends meet, let alone send their children to a private school. That model has been tried before. It encompassed the Ancient Times, The Dark Ages, Medieval Times, all the way to the 1600 and 1700s. Only children of nobility or wealth could experience a formal learning process. Is that how things should be?
Public schools in this Nation started out just fine. Then the liberal/commie creeping crud set in, but only because conservative people failed to monitor the schools, failed to react when they saw trouble, and almost never do anything to combat the dysfunctional changes. The problem with public education can be fixed as long as conservatives reverse their habits with respect to the schools.
If you CAN afford private schools or are able be provide an effective education at home, then it would certainly be best to do so. The rest of us will need some well thought out help.
Read the article. The explanation is there for all to see.