I bring my own baggage to these discussions, as well. And yes, rereading your original post you did acknowledge that and it was unfair of me to have suggested otherwise. Sorry!
Did you mean culturally dominant there? I'm not sure how to interpret that if not.
It's difficult to have discussions about gender differences at the level of the brain not necessarily because there are no differences but because the differences that do exist tend to have a great deal of overlap and thus makes it more difficult to attribute differences in, say, individual temperaments to their gender.
As for differences, there was a pretty recent
Tel-Aviv University study that I found interesting:
Video (Slate.com)
here; popular article (New Scientist)
here. The short version:
Also, if you are interested in a critical examination of the literature of the science of sex brain differences (specifically a critique of the "brain organization theory" - which is basically the theory that a "testosterone bath" that male fetuses receive reorganizes their brain into a "male type" brain), you should read Brain Storm by Rebecca M. Jordan-Young. It goes pretty deep into it; she interviews nearly every researcher in the field, spend over a decade going into hundreds of scholarly articles and examining conceptual definitions, experimental designs, and so forth.
Oh, okay. Colloquially when someone is describing something as an inherent difference, I think that there's an implication that it is something that is not amenable to social engineering tinkering to "fix," so I probably would have understood you to mean that before you clarified.