India and Pakistan had nukes and still went to war over Kargil. There is a good, big list of nuclear close calls during cold war. If you think nuke close calls are preferable to World Wars, your brain is totally and completely cooked. And the Sanest Country in History is actually the only one ever to detonate a nuke in anger. Two, actually.
No major states went to war since WW2? I'd say, let the Superpower clowns screw each other until their rear ends bleed, but leave the poor developing countries to develop in peace. We don't want Cuba or Vietnam or Cambodia or Chile or Nicaragua or Palestine squeezed because big and benevolent America can't wave her(?) dong at Russia which had Peacekeeping nukes.
If you can make the case that nukes led to global peace, I can make the case that Nazism rid the world of Colonialism.
Please stop glorifying these academic nuts with coverage.