Your translation seems to be oblivious to the fact that "the white male establishment" != "all white men". In fact, there are plenty of women and plenty of people of color who are a part of the white male establishment. And there are even plenty of white men who aren't a part of it! How can that be? Well, all it takes to be a part of it is to be an apologist for inequality or to otherwise perpetuate inequality.
So the reason why it can be referred to as the "white male establishment" isn't because of its membership, but because its existence is mainly for the benefit of white males.
So the reason why it can be referred to as the "white male establishment" isn't because of its membership, but because its existence is mainly for the benefit of white males.