My guess is that nuclear weapons will be used sometime in the next hundred years, but that their use is much more likely to be small and limited than widespread and unconstrained.
Only those who are ideologically opposed to military programs think of the defense budget as the first and best place to get resources for social welfare needs.
Projecting a persuasive image of a desirable and practical future is extremely important to high morale, to dynamism, to consensus, and in general to help the wheels of society turn smoothly.
The objective of nuclear-weapons policy should not be solely to decrease the number of weapons in the world, but to make the world safer - which is not necessarily the same thing.
The widespread diffusion of nuclear weapons would make many nations able, and in some cases also create the pressure, to aggravate an on-going crisis, or even touch off a war between two other powers for purposes of their own.
There was no race - but to the extent that there was an arms competition, it was almost entirely on the Soviet side, first to catch up and then to surpass the Americans.
To the extent that these advanced weapons or their components are treated as articles of commerce, perhaps for peaceful uses as in the Plowshare program, their cost would be well within the resources available to many large private organizations.