First, while testosterone may partially explain some of the more flamboyant exchanges in Congress, we should remember that Congress was specifically designed to flounder. Let's face it, getting 51 of 100 people to agree on what time to have lunch requires a miracle. Anything important, and theory has it that if you can get that agreement, you have reached the best possible decision.
Second, matriarchal societies are rare in history, but they tended to be reactionary, repressive, tyrannical and warlike. If you think the Constitution gets short shrift now, try electing a 60% majority of women to Congress and see what happens. I have written to my female Senator, and can tell you first hand that nobody can dismiss your concerns like a woman!