There are no areas not of interest (except, perhaps, cricket - no, I even find that interesting, curse my wandering brain!). Anyone who thinks about feminism should be interested in the human brain / mind in all its aspects.
This is my interpretation: the brain is a a set of mechanisms which enable human thought and experience to occur. These experiences are 'emergent properties' (en.wikipedia.org/wiki/Emergence) Also, some of these mechanisms are 'plastic' - that is, they adapt throughout life to the environment. Now, for any particular individual mechanism, the environment consists of the outside world AND the other mechanisms in the brain. The fact that different brain mechanisms have a degree of independence is what allows us to make decisions. If there was no conflict between different parts of our brain, we would be literally single-minded all the time!
So, gender identity - well, certainly what I feel regarding my sex and my sexuality need not be the same. A human can, so it seems, feel male but be sexually attracted exclusively to males - this implies there must be two different mechanisms at the very least for gender identity. The part(s) of the brain that help us adapt to our specific social environment are also very heavily influenced by gender stereotypes, so that adds another mechanism. Our inner sense of our own capabilities will sometimes conflict with gender stereotypes, which again changes how we feel about our gender identity. That's four potentially conflicting mechanisms right there!
Now, as for the innateness of gender identity - well, that's a question of whether or not any of these mechanisms are irrefutably set in stone during early development. Lots of current research suggests much, if not most, of our gender identity is hard-wired into the brain. However, critics of this position have made some very strong refutations of this idea and my feeling is that the critics are right. Most aspects of our gender identity arises from our need to conform to the social model of our gender. What I wonder is whether or not the need to be defined as man or woman is hard-wired, or if it also a product of socialization. Is it the case that I feel like a man because society tells me that I am a man, or is it the case that the particular type of man I feel like is determined by society, but that the fact that I feel like a man at all is laid down in the womb?