Given that, I don't see how Rose's after-the-fact behavior is any worse than that of Barry Bonds and his ilk.
That's more evidence for keeping Barry Bonds out than it is for letting Pete Rose in.
Do you really think that beacuse some cheaters haven't been banned from the Hall, no cheaters should be banned?
It should be all or none. Keeping Rose out because he cheated AND is unpopular, while letting Bonds play even though his cheating is virtually certain, is inconsistent behavior and does nothing for the integrity of the game.