I’m not sure if you can, or should, block attempts to spend the stolen btc. But yes, you should be able to track them to a wallet ID, if not to an identifiable person.
What I’m not clear on is, did the customers realize they were getting double-paid and not report it to Mt Gox? Are there a bunch of btc users who have more coins than they think they do, and may never learn about these extra coins, which will therefore never enter circulation again? Or were the coins really stolen?