Your car insurance would cost more if you were a woman? Citation needed.
My impression is that most car insurance costs more for a man, because men tend to be more aggressive behind the wheel, and that translates into a higher incidence of accidents. At least, that's certainly the case for young drivers.
I attempted to prove it with a quick quote from Progressive, but they want a real name so they can check credit history, and I wasn't willing to give it to them. So I can't (easily and quickly) prove that you're wrong, but I'd like to hear why you think you're right.