Not much more besides the thread title, but more morally governed by woman rather than how it's currently run by almost all men?
See, you asked a question that could have been phrased better. Instead of asking a moral question, maybe you should have asked "would the world be better under a patriarchical or a matriarchal society"?
Morals are way too subjective, because it depends on your religion and location. Personally, I don't think Christians are any more "moral" than anyone else, in some cases, I believe less so. I mean..........the "moral family values party" has had it's share of scandals involving sex.
Besides, who here thinks that Palin is "moral" in her quest for greed? Me personally? I think she's an idiot.
However, with all that being said, yes, I do think that society would be better under a matriarchal society, because women have more of a tendency towards compromise and diplomacy.