Here's the thing though: do lower class white people have their own set of obstacles to overcome? Of course. Do black people of similar status have those same exact obstacles AND a ton of others that the whites of similar status don't have to deal with as much (if at all)? Absolutely.
It would be disingenuous to say that poor whites have it just as hard as poor blacks.
I'm white, if that matters.
I'm not denying anything you said in your post, because I agree with every point.
What I mean by class privilege is that
Upper Class Blacks have it easier than Lower Class Blacks. Upper Class Whites have it easier than Lower Class Whites.
Do Whites have it easier than Blacks? Absolutely, no denying that by any means. All I'm saying it has become a bigger issue than just Black v. White.