How do I get pilot bushing out?

Well I failed at removing it with the grease pack method, then rented the puller from autozone and still failed, even though I gave it several valiant attempts.

Then it dawned on me... Is this really a pilot bearing? I mean, its such a thin looking sleeve. I'm gonna try and post a couple pics so someone can tell me what a bonehead I am for trying to remove something thats not even supposed to be removed (I hope).