I think the argument of seeing equal powers as peacekeeper does not hold: If both sides pile up more and more power the whole system on an absolute scale will become more and more unstable. Finally the tiniest event is enough for the system to go out of control. If both sides abandoned more and more power, the system becomes more and more stable on the absolute scale.
I'm pretty sure that all governments who don't yet have nukes, don't lack them because they "follow the anti-gun-arguments", but more likely because either they aren't capable of building them, or they are afraid of international retaliation
Why would nations who have nukes decrease their number then? Even on mutual agreement?
It's naive to believe that gun control laws will take the guns out of the hands of those who don't care about the laws. I'm sure they won't. They'll just take the guns out of those who care about following the law.
I didn't say that. But I think the overall probability encountering some criminal with a gun will go down.