Elephant in the room: most of the "privilege" you are talking about is literally parents giving a damn and pouring endless time and energy into teaching stuff to their kids and trying to engrave delayed gratification into their personality.
But instead of rewarding and praising this behavior, and trying to make it a role model for the struggling minorities, we try to punish and discourage the kids that have learned the skills with their parents' help, so they won't succeed in life either.
Of course, this doesn't affect the "admission by donation" kind of families, that leaves me wonder: is it about helping minorities succeed, or is it about replacing arrogant self-reliant challengers with grateful and loyal underperformers, to further entrench the elites' position?