This question is 75% tongue-in-cheek.

Well, regardless of gender, most humans are walking bundles of issues and angst. So ending the 'battle of the sexes' would actually have marginal effect on most interpersoanl realations, IMHO.

Wait - there's a war between the sexes, now? Damn you George Bush!!!

How to bring peace to the war between the sexes, eh?

Fight fire with fire, I always say.

Sex is the answer.

Stop using sex as a weapon.

Viva le difference, baby!

Just surrender to it.

Learn how to reproduce asexually.

Whenever a testicle has been removed from its owner, be sure to place it in his hand and make sure he knows "This is yours."

It was when reminiscing about the war of the sexes and how to end it, that we came upon the idea of the autojohn. Whenever someone enters the restroom, the Autojohn senses the level of testosterone in the air, and raises or lowers the seat accordingly. Also, if the testosterone level is high, it also measures the level of methane, for added convenience.

Disclaimer: Autojohn does not work with emo boys or female olympic competitors, due to hormone calibration issues. However, we feel that these people would prefer to use the john in the detected position anyway.

However, our other product, the Hoverjohn (don't confuse with John Hoover) that blows a strong upwards current of air to help ease the stress on legs of women hovering over unclean toilet bowls was unfortunately canceled due to a certain design flaw.

That reminds me of this psychotic old man who would talk about how all toilets should have an alarm that goes off when women pee to announce that they are pregnant. He also insisted we would have healthy children because our genes were sufficently disparate and should commence immediately with the mating. All this was somewhere in between spitting a wide array of racists slurs and general epiteths.

That's funny, I was just reading this on best-of-craigslist.

Note that I believe that both men and woman are from Earth.
Well, there's the first flaw in your plan.