Let’s assume that women are less likely to go to war and that the “impulse to war” is a predominantly masculine trait.
What would we simultaneously have to assume about the trait of leadership? Or the social pressures in climbing the leadership ladder to the top position of country leader. I think it would be reasonable to assume that world leaders probably exhibit more traditionally masculine traits, even as women.
To me, the question comes down to “how much femininity can a female world leader retain”? Even if a lack of war is a feminine “inherent impulse”, would someone with this trait be elected by the populace? Would they desire national leadership? And would the process of becoming a national leader temper some of their natural feminine traits?
I think that for women world leaders to promote world peace, we would culturally have to shift to accepting, supporting and even seeking more traditionally feminine traits in our leaders (perhaps traits such as being collaborative, nurturing, empathetic, etc.). Until we do that, we will elect people who have a more traditional masculine sense of leadership, which will likely contain war as a popular method for social control.
For now, my answer is no to maybe a teeny bit. In a very long-term sense, I believe that yes, having more women world leaders (and embracing a more feminine sense of leadership) will lead to world peace.