I think it would be rough. Unless the woman was hyper sexual it would lead to the men constantly fucking each other and then constantly talking about how their wife never wants to have sex and how difficult women are, and then the woman is over there starting to think her husbands are just gay.
Your view on the sexes is really stifling for both. Women aren't emotional jelly and men aren't rutting beasts.
I hear you on that--we shouldn't stereotype sex and/or gender, but we should also acknowledge that Western culture (and other cultures) do a horrible job of setting horrible prohibitions on gender behavior and expectations. In the US, men are socialized into not performing their affective emotional response. Thank goodness many of us don't believe in that bullshit, but it's hard to de-program one's mind and actions from the dominant culture, right?