It is the declared policy of the United States, and has been since we signed the NPT, to work towards a world that is free of nuclear weapons. It is not a new idea.
Exactly my point. It is nothing new.
As for nuclear weapons keeping the peace, they do indeed discourage big wars between the more powerful nations of the world. MAD kept the cold war cold, after all.
Still, we're like a gang of bandits, each afraid of the others' pistols. Perhaps one day we will evolve to the point that we're more like a band of brothers, each concerned for the well being of the other.
But no, I don't expect to see any such development in my lifetime. The naked ape is still pretty warlike.