C-P didn’t really cause anything. It was in the works even then. C-P is merely a description of what Wilson and FDR set in motion and LBJ set in concrete.
Mostly likely, Wilson was well-intentioned and put policies in place which he thought would help. (They didn't.)
It may even be likely that FDR was well-intentioned and put policies in place which he thought would help. (They didn't.)
LBJ was a cynic who put policies in place in order to gain political power -- I don't think he really cared whether they helped or not.
But at some point, the enemies of America (such as Cloward and Piven) took a look at these policies and basically said: "These policies which people think are helpful are actually really, really harmful! We should encourage these fools to do this more and more!"
Cloward-Piven didn't start the fire. But they poured gasoline on it.
Cloward & Piven specifically prescribed black mob violence as a key feature of their strategy.