The logic relative to your topic is that the properties of the left frontal lobe being the more logic and calculative so far as function would tend towards male leadership role.
Even IF this was true which you don't support, what makes you think that such traits automatically produce better leadership which you also did not support.
Of course, biblical creationists are committed to belief in God's written Word, the Bible, which forbids bearing false witness; --AIG (lest they forget)