Ah, but we were all conformist in the 60s as well. We were ALL going to sweep away old conventions etc etc. We just all went along with the current conformity. Except of course that all young people in the 60s weren't into military jackets with beads and flares etc. Some did, but an awful lot didn't, we just tend to mix with people like us, whatever our 'us' might be.
Back in the 60s I wasn't into flower power, in fact I was rather cynical about it. I had studied history, I remembered stories about the 'war to end all wars' and 'never again', but the young people who thought that were back at war within 20 years. Even then I thought that most of the people enjoying summers of love would be married with mortgages and children and being conventional within 10 years - and they were - and would agree to fight wars (remember the Falklands War?), and vote for conservative governments - and they did (and still do)
I was an active member of the Young Liberals, a very minority sport, but good fun, lobbying MPs. I wore very short skirts and was busy pursuing a career in industry, another minority sport for a woman then.