Here's something about Mills's post. It might follow the usual far left views, but it is written more calmly and therefore comes across as more reasonable than usual. It's as if a grown up had taken on a childish idea and given it a more polished presentation.
Even so, when you boil down his argument, there's not much there. I tried to explain this in the following comment I left at the site:
The problem with the theory about white privilege is that to make it work the concept of privilege itself has to be narrowed down. In effect it becomes this: "it is a privilege to be the majority ethnic group because you are considered the norm". Which then makes the ethnic Japanese in Japan privileged; the Han Chinese in China privileged and so on. Logically, then, there should be no majority ethnic group anywhere, which then means that no group is in a position to reproduce its own distinctive culture.
Whites are not privileged in other senses of the term. Asian Americans, for instance, do noticeably better than white Americans when it comes to average income; educational outcomes; family stability; professional status and so on. Nor are whites privileged when you look at the global situation: whites are a minority group whose position is everywhere on the decline. Talking about white privilege at this time in history obscures the vulnerable position that nearly all white communities find themselves in.
I could also have mentioned that whites don't really get to benefit from majority status in the kind of easy way that Mills suggests, as we are the group that gets attacked as an oppressor group within the institutions of society, particularly within the schools and universities.
If you do happen to choose to leave a comment at the website I linked to, I'd ask that you make it as calmly reasoned as you can as that is far more likely to have an effect on the readership than anger or indignation.