Controlling for income doesn't work well, because whites at the same income level tend to have much more wealth than blacks at the same income level. Controlling for wealth, blacks still tend to poorer access to resources (clean water, prenatal care, etc...).
It would be a great achievement if we could simply say that poor blacks were finally as well off as poor whites, but we're still quite a ways away from that.
That said, I don't think the country has the stomach to realistically try to fix that problem any longer.