The problem is that iPad does not clear your private information even if you insist on doing so. It is possible to prevent tracking just by using simple technics and by following general rules.
Unless your simple techniques and general rules include disabling cookies, disabling javascript, disabling images, changing your IP between requests, changing your MAC between requests, and changing your User Agent between requests, you're still going to be trackable by anyone intent on doing so.
Everything that you've described actually helps to track users better, because it contains a unique set of information. The simple technique is to be like everybody.