Graham is fairly explicit that the civil rights movement wasn't priggish in the way he criticizes. He basically develops the thesis that such priggishness arises as a side effect of any ideology when it becomes sufficiently dominant, and it's worth opposing the priggishness, independent of the merits of the dominant ideology in question.
There's a big difference between these two things
* Berkeley's Free Speech Movement: https://qr.ae/pYCVXO
* "Free speech is a disease and we are the cure", from the sidebar of /r/ShitRedditSays: https://www.reddit.com/r/ShitRedditSays/