American culture during this time was extremely polarized. There was a major split between the people who held the values and attitudes of the counterculture and those who remained attached to traditional ways.
On the one side, this was the time of "sex, drugs, and rock-n-roll." The counterculture was pushing for a new set of values in which there was less respect for authority and conventional/traditional morality and more of an idea that people should do whatever they felt like doing. On the other side, there were still a huge number of people who believed in traditional values. These were the older generation, of course, but there were also many people who were younger and who still believed in the older ways.
Of course, there were many people in between. There were many people who might, for example, hold traditional values about sex and respect for authority but who believed in new ways with regard to the rights of women and minorities.
Overall, this was a time of polarization and ferment in US culture.