Re: How recognizable is the enterprise crew?
That hot Russian, Anna Chapman, was sleeping with every politician in the U.S. of A. for government secrets, which she - surprisingly - got in quite a bit of detail. They all knew her and yet - through careless Pillow Talk - betrayed our country, many times over! But because she was the spy, she was the scape goat for the fiasco and deported and unlike Snowden, all of those horny politicians who made it with her got re-elected, with no problems. Point is, politics are all one big game, really and you don't get to command the flagship of the Federation, without knowing how to play The Game. Notice how James Bond never gets "recognized," despite being the best known agent in the Intelligence Community. Then, again ... his ability to transfer from one actor to another over the years has contributed, somewhat ... surely!
"Rich she shall be, that's certain; wise, or I'll none; virtuous, or I'll never cheapen her; fair, or I'll never look on her; mild, or come not near me ..."