The Bible speaks plainly on how children are to be raised, and it doesn’t include sending children to be trained up by a pagan government school system. There are many books, articles, and sermons that address this topic, which you can easily find. As for Romans 13, your brief comment would appear to indicate that you think Christians should submit to Nazis, Communists, pedophiles, etc, as long as they call themselves “authorities. I am sure that you can’t possibly have such a thoughtless position. It certainly wouldn’t be biblical, and there is an extensive literature on this subject that the Founding generation was well acquainted with.