The best outcome is to have minor fraud (someone tried and failed to open an account in your name, or your name+address appears in a data dump somewhere) occur because then you can register a fraud alert and credit freeze in all the agencies which stops a lot of nonsense (random junk mail, risk of actual fraudulent accounts getting established) for a year or so by enforcing extra authentication steps.
I wish I could put a permanent fraud alert on my credit accounts, but would probably have to hire a lawyer or something.