There is also a critical difference between workplace discrimination (where the burden is on the employer to justify statistical disparity) and government gender discrimination (where the burden is not on the gov't to defend its practices but on you to prove that there is one and only one explanation for the disparate impact -- intentional gender bias).
Many people before you have run this angle of attack to ground. It is a dead end. You would be well-advised to waste no time on it. You will fail ... because, technically, under the way our legal system works, you're incorrect.