The blanket statement made me uneasy, too. Perhaps I swept over it because I was focused on the personal significance. Still, I think there is something to it. If most in that culture had the option to a) change the culture, or b) start their own culture, my guess is that many would go with the latter. That, to me, is the difference Deleuze is getting at.
In my own experience of 1968-75 counterculture, it was more of a both-and rather than either-or. There were definitely people who saw only repression and conformity in the mainstream culture. Some started their own back-to-the-land communes, free universities, and more. Others wanted to get away from nuclear families and live in urban communes, keeping a foot in both worlds. But yes, Deleuze was stressing the "away" vs "against" -- in some cases (as in the Prisoner's Village), getting away is the only option. Bringing that metaphor into your own choice for interpersonal interactions makes sense.