So the disparity between black and white working class income is not as great as the figures suggest. The facts you discover follow from the categories you classify them into. The racist media assume that all white people, or all women, or all members of various other categories, have something in common, and then produce statistics which apparently prove just what they have assumed. But it is sometimes effective to counter the media by pointing out that even if their assumptions were true , their conclusions would not follow. This will only work if we remember that we are on enemy ground from the outset.
Guilt is a powerful instrument of social control.
There is a constant barrage of propaganda trying to make white people, and particularly, white men, feel guilty for the accidents of their birth. One effect of this is that white working class people are blackmailed into keeping quiet about their own condition. Another is to provoke a racist reaction to the anti-white racism of the media. The different varieties of racism reinforce each other. I think you need to do both.