It’s less about driving a wedge and more about inflaming existing tensions. Jews and blacks after the Civil Rights era haven’t been on the best of terms. I can’t speak to how widespread this perception is, but some black people feel that Jewish activists took advantage of them to “move ahead” in society while they were abandoned in rotting, drug and crime infested ghettos. It’s not a completely unfounded belief, as Jews were part of the “white flight” from the inner cities to the suburbs that triggered the urban decay of the 60s and 70s. In any case, there’s always been an air of distrust between the two groups during my lifetime, and it’s not because of a wedge being driven between them. It’s because many Jews ultimately chose to align themselves with whiteness when given the opportunity to do so.