The point I was making earlier is quite simply, we are viewing our existing situation based upon the premise that we will not have a nuclear war in the future - but judging by the amount of time we've had it & the prospect of other nations developing them this may change. The absence of conventional warfare as a benefit in the short-term may be irrelevant if the end result of our existing situation is something resembling another ice-age.
It may be a net benefit in the future, it may also be the exact mindset which results in our downfall as a species. Really the only way of prevent nuclear war is to get another better as a species & move away from developing weapons capable of self-destruction. I'm not saying it's definitely going to beneficial if we remove them all, just that the default stance is a choice within it'self, one which has it's own consequences which may be less desirable than we've seen so far.