You're arguing from a flawed assumption, that Wikipedia's definition of gender is correct. It's not--it's POLITICALLY correct. Please recognize the difference.
The very fact that WP puts "male" and "female" in quotes, as if society or culture assigns people to one category or the other, demonstrates the absurdity of the argument. Whether a person is male or female depends on exactly one thing: their chromosomes.
Whether a person acts like a typical male or female relative to their culture is another matter. We're all aware of the ages-old nature vs. nurture argument. It will NEVER be settled because we cannot ever REALLY KNOW all the factors that influence a particular person. It's pointless to try to assign a ratio--the point is that both nature and nurture, biology and society, affect people's personalities. It's foolish to say that it's either one or the other.
Finally, I'm not going to go through this post and your previous one bit-by-bit, but suffice it to say that the examples you cited do not prove that biology has no effect--they prove that society does. (Which is obvious, anyway.) To claim otherwise is arguing from the false premises that 1) we can ever know what the ratio is for anyone, and 2) that it could possibly be one or the other instead of both.
P.S. It seems that we disagree on this, but I was pleased by your first post in which you agreed that attempting to increase women's participation is no different in principle than attempting to increase men's. I guess we agree on that. Discrimination is discrimination, regardless of which group it's applied to. We should be encouraging all people to participate and we should be advocating freedom for all people. We should not be attempting to manipulate anyone, whether groups of people or individual people.