How are white males a privileged class? The top 1% sure, but the average white male?
If anything, white females are a privileged class.
If anything, white females are a privileged class.
The way to think about it is take one of those poor white men and imagine he is black while the other things (wealth, schooling, location, etc) remain constant. While anything might happen, statistically that person's outcome would be worse as a black poor man than as a white poor man.
This is uniquely an african american problem suggesting alternative reasoning (culture, education/values etc).