Nuclear arsenals bring peace. Lybia's dictator was immediately assasinated as soon as he agreed to disarm. North Korea is constantly showing off their nukes because they've seen what happens to small resource-rich countries with no nuclear weapons. The U.S., China EU and Russia are all commited to peaceful economic competition because there is an understanding that the first war fought between nuclear powers will be the end of the human race. Removing nukes from the equation would drastically alter the state of the world.

Nuclear buildup may look similar to the cat and mouse game of law enforcement but in fact they're two different games; the former cannot be used to reason about the latter.