I definitely would. I would become a real woman, instead of a god-damned man! LOL I am joking I am a woman and quite straight, but sometimes it is hard for me to identify with women. They are too girly or womanly and I feel like a general.
Maybe it really depends on upbringing, the roles we fall into.
I don't think that "I am a woman" or "I am a man" statements are definitive. It does not tell you all that much.
What kind of woman? What is your personality?
A woman can be strong, courageous, decisive, bold.
A man can have "no balls". Too often the case.
But on the other hand, it is believed that men have more stressful lives -- it goes back to apes. Research shows that alpha-males stress level is quite high, their lives are shorter than females'. Sometimes they are killed for being the rulers (uprisings, revolts, impeachment - same goes in the animal world). I am quite serious.
The best thing about being a woman - having a child. Maybe it is not such a bad idea that we have no choice in selecting our own gender. Accept what you have and make the best of it.