How would having a personality limit God?
Hypothetically? Yes, I suppose God could, at the cost of our free will regarding Sin. But God would not. As he is omniscient and aware of all time, if he were going to do that, he'd have done it already. I believe that even after the Judgment, the idea of Sin will still exist, as Satan, his third of Heaven's Host, and the humans who followed him will still be paying for it. Furthermore, I don't think that Humanity is going to be the last thing God creates, and I doubt we were the first.