So far it is only a hypothesis, that war can be avoided if people just would not starve anymore.
(I don't think there was really hunger in europe pre WW1 for example)
Also, assuming we would distribute ressources equally (nevermind the political means to achieve that for a moment):
It no doubt would be enough for everyone today.
But the world population is already going steeply up - with people starving.
So if it would go even much more up, if no one would be starving - would it then also be enough for 10 billion people? 20 billion? How much more roundup can the fields take?
So don't get me wrong. A world with no wars and where no one has to starve is definitely a noble cause I agree to. I just thinkt it is not so easy, if it is possible at all, since there was never a time in human history without. We don't know whether it can work out at all.