While I find the scrutiny the U of A Greek system currently endures for its failure to offer a bid to the granddaughter of John England amusing, I do disagree with the premise.
These are private organizations and should be able to control membership in any way they please. If they want to only admit blonde girls with large breasts, that's perfectly okay with me.
Mandating, forcing, requiring, demanding integration is asinine.
Why must we keep attempting to wedge the same round pegs into the same square holes?