Frankly, you would be hard pressed to find a more conservative crowd that the hippies and almost all protesters during the 60's. They dressed alike, thought alike, all said the same things, listened to the same music, believed in core absolutes of morality such "all men are created equal" or "Justice for all" or "make love not war" (who was it that said turn the other cheek? ). They wanted smaller government and for the US to stop invading other nations. They favored fewer taxes, caring for each other, mutual civilian assistence in education, health care and resources.
Yes, But they SAID they were relativists--or at least some of them did. Anybody who gets morally pumped up is not acting like a relativist. I myself think that all moral systems are subjective, but I still get morally pumped up sometimes (mostly about private rather than political matters).