I feel horribly cynical for saying this, but: if you like playing the long game, this is actually a great time to join the NSA. Their ability to source talent is probably at an all-time low. One way or another, their reputation will probably rebound within a decade, and you'll have it all.
I'm not going to make predictions for the future because you know as little as me, but I'd be shocked and horrified if they did unless there were sweeping changes that made the NSA and its foreign equivalents more acceptable.
I think your view of history is just as myopic. The NSA has been around since the 50s and the original FISA of 1978 was written specifically because it was revealed that the NSA was spying on domestic targets at the request of Nixon.