Not according to American nonfiction from that decade. Many books on cooking, diet and exercise, and housekeeping (including one from Phyllis Diller). Comedy from Bob Hope, Johnny Carson & Peanuts. The Kennedy presidency & assassination, and the rise of Nixon. There were only a few books suggesting the sexual revolution was evolving. Contrast this with the 1970s in my companion challenge (click on the link).
To capture the flavour of the era I used first edition covers as far as possible.
The table below details the year in which the book first appeared in the Nonfiction Bestseller Top 10. I have omitted duplicates & reference books
The books by year are are:
1960: 1-10
1961: 11-18
1962: 19-26
1963: 27-34
1964: 35-43
1965: 44-53
1966: 54-60
1967: 61-67
1968: 68-74
1969: 75-83
The source is "The Chronology of American Literature: America's Literary Achievements from the Colonial Era to Modern Times"