*Tread carefully. Very, very carefully*
Some of the more apocalyptic thoughts of the Civil Rights era, whether it be with elements afraid of it or radicals believing it was needed and coming, was that the situation was going to erupt into all all out race war. Certainly in the heated and tense they were living through, it may be understandable that such a thought was not extraordinary to them.
Though racial tensions did remain high, and racial conflicts were many, such a thing did not occur, and the Civil Rights movement itself cooled down by the 80s.
But for a Dystopic situation, was such a thing actually possible, or could it have been made reasonably possible by things that increased hostilities and tension even more, whatever those may be?