I don't think the idea of competition works. It certainly wouldn't work they way he thinks it would. Often you have great teachers who care a great deal about their kids working at lower performing schools. The idea that these schools perform the way they do because of the teachers is not an educated one, which is understandable for a business person who is not emmersed in the system. Their are a ton of reasons many private schools are so successful, even often with teachers with less training. It has a lot more to do with the makeup of the school and socioeconomic factors. We do well score wise with all but our poorest kids. Logic tells you this has little to do with the education system and way more to do with that group. The way to improve education is to somehow decrease that group and move them up.
OTOH, I like some of his views here regarding localizing education and common core. I just find the lack of understanding regarding public school struggles baffling. It isn't complicated.