[yummyfajitas]

You are missing the point. You are choosing to slice reality at the joint of gender, assuming that people with breasts are "like you" but people without are "different". Of course, in a discussion of political power, this is not a very useful way to slice. Male predicts very little. Insider status (e.g., child of politician) predicts a lot more.

You are also implicitly assuming that the category of "like you" matters at all. But that's a choice you are making. I can choose to view Peter Thiel as "not like me" because he is gay. I can also choose to view him as being "like me" because I aspire to be awesome in the same ways that he is.

If women are less likely to make this choice, that's not privilege. That's simply the choices of individuals holding them back.