In the animal world, the males are the 'decision makers'. They also control (up to a point) the females. Both are 'territorial'.
Translate that into human behaviour and yes, it is, largely, men who instigate war. But then it gets more complex. It isn't solely about territory - the male ego has a lot to answer for.
Men like Trump, Putin, Kim Jong Un, etc, I believe all have massive egos that continually need feeding. Ego doesn't respond to reason or rationality; it has its own insatiable hunger which renders it totally immune to any suffering it causes in its drive to be 'fed'.
We women do also have egos, but I honestly don't think they are anywhere near as demanding as the male ego. Maybe because we are more in tune with the preservation of human life - because we actually give birth to it?
I once had an interesting conversation with a Muslim male who'd renounced his faith - and lost his family as a result (but that's another story). He told me the reason that men control women is, basically, because they have to make sure that the offspring of their women are theirs and that they are not giving shelter, sustenance, land - and inheritance - to another man's child! And the only way to do that is to control women completely! That's why any attempt to liberate women is a threat to their supremacy so grave that they will kill to preserve it. And they have devised a way to interpret Islam to fit this agenda.
That's one man's view anyway.
So, yes - maybe the world would be a better place if women were more in control - because our egos are in fact more amenable to reason, rationality, logic and compassion.
They say that hell hath no fury like a woman scorned. Whoever thought that one up obviously never had to face the fury of a man whose sexual advances were rejected. There's a whole breed of men - incels - who are simmering with hate for women (and also the men who are more 'successful' with them) because they've been rejected - denied that 'right' to a woman that they think they have.
My late EX always preferred the company of women - of any age - in a social setting. He said they were, on the whole, just "nicer human beings".
. Again, though - just one man's view.