No, if education is privatized, teachers will be grossly underpaid; the top executives of these private companies will be overpaid; the company owners will overcharge the state with abandon because their generous donations to the local political machine will allow them to do so; education will take a serious downturn and eventually cost more than ever; people like you will be scratching their heads wondering what went wrong with their utterly naive, neoconservative, pseudo-libertarian "bright ideas."
If you want to know what is wrong with our education system, start examining what the schools actually pay for desks and computers, etc., and then compare these prices to what such items go for at the local Staples. Then start asking yourself why textbooks should cost as much as they do.
You can privatize all you want, but until you figure a way to keep private industry from bilking the taxpayer to death via pay-to-play schemes with local, state, and federal government officials, you will only make matters worse---much worse.