Yeah, that'd be no end of amusing. Wonder if they'd conclude James Novak was a multiple personality or just somebody who'd had a psychotic break, assuming they managed to get an ID for the face attached to the name Castiel.

And now I'm picturing Dean hearing that the BAU had had a run-in with somebody claiming to be Raphael (though why this would be mentioned in his presence I don't know) and laughing his ass off.