But I didn't say, and I don't think it's true, that the argument is clearer "because [I] think it supports the outcome [I] prefer". I "prefer" that outcome, in part, because it seems clear from observation that there isn't that sort of huge difference between men and women. That is not a reasoning error, it's straightforward inference.
So your theory is that all observed larger number of men at the upper end of any bell curve is due to sexism? And the larger number of men at the lower end of most bell curve, e.g., more men in prison is due to..something?
Most of the data I've seen suggests women have lower variance, here Robin Hansen discusses some of the implications about variance in test scores.
I remember seeing a talk of the concept of privilege show up in the discussion thread on contrarian views.
Some discussion got started from "Feminism is a good thing. Privilege is real."
This is an article that presents some of those ideas in a way that might be approachable for LW.
http://curt-rice.com/quotas-microaggression-and-meritocracy/
One of the ideas I take out of this is that these issues can be examined as the result of unconscious cognitive bias. IE sexism isn't the result of any conscious thought, but can be the result as a failure mode where we don't rationality correctly in these social situations.
Of course a broad view of these issues exist, and many people have different ways of looking at these issues, but I think it would be good to focus on the case presented in this article rather than your other associations.