It seems we share intentions but come to opposite conclusions here!

My starting point is that "war is the health of the state." I think a world government, instead of ceasing all wars, would become embroiled in endless internal conflict trying to stamp out domestic unrest.

I also don't trust that the leaders of such a world-spanning NATO would refrain from using such consolidated power unjustly.

In my view, the way to world peace lies precisely in the gradual disarmament you've desceibed, but that this process can only come about with less, not more, government.