The strong conservative undercurrent of conservatives dominated the politics in 60s even as counter culture gained prominence.
Step-by-step explanation:
The Psychedelic war protesting era of the hippies and the sexual revolution had become but it had brought as strong reaction from the conservatives of the country who held most of the power in the nation to do things.
Thus they were aghast of this new way of life and doubled down on their conservative ideas.
While there were more and more liberals in the mainstream in the hippie era one could easily see the conservative influence in the government itself of the country that had reeled back quite a bit against the culture.