A subculture, yes. An "entire generation", absolutely not, this is hyperbole. You can't "opt out" of the NSA, but certainly if you wanted to, the very first step is to get as far away from Facebook as possible. Yet there is no large gap in ages amongst those gleefully participating in Facebook all day which would indicate "an entire generation" seeking to avoid government surveillance.
If you're not just being pedantic:
http://www.businessinsider.com/poll-millenials-have-historic...
The millennials are distrustful of everyone, and why shouldn't they be?
The idea that distrust of the government has suddenly leaped on generational lines implies that millennials are savvy, informed, and active in comparison to demographics over 30 who are assumed to be complacent and naive in comparison. But the reality is that most people right now will gladly answer on a poll that they don't like the government as much as they used to, and that most people are still almost entirely complacent in any case; there are no millions marching in the streets in protest, voter turnouts remain terribly low across all demographics, and everyone freely donates datapoints to Facebook all day which is one of the NSA's most bountiful conduits for information.
That's not to disagree with the very original comment here. The original comment refers to the interaction of subcultures as well, namely the "builder" subcultures who can direct their efforts towards pro-privacy or anti-privacy efforts. That is of course an important conduit.
Google and Facebook, as contentious as some of us feel about them, produce products people like, and are voted into power by our direct and continued usage. You can't opt out of the NSA.
In the end, you're comparing an organization with a world-destroying military that regularly murders and imprisons people at all ends of the earth, to another that displays diaper ads that follow you around the internet. Not quite the same.