The way I remember it, assertive women bring about harmony & resolution (but only in Aristophanes' comedies... as a proclaimed feminist/egalitarian, I won't dare to rant on the obvious). The plot revolves around Lysistrata and the sisterhood withholding sex because they're fed up with the idiocy of the Peloponnesian War, initiated and carried out by men. They figure (rightly) that sex is of ultimately more importance to men than their petty squabbling... the war waged by the women is one of a much different nature than the blood-and-guts war that they're attempting to stop. I just didn't get your reasoning for emphasis on that last line quoted, given the overall plot context.