It's not a false equivalency with respect to the question of overriding concern, which is existential safety. Suppose nukes somehow also provided nuclear power.

Then, you could say the exact same thing you're saying now... but in that case, nukes-slash-nuclear-energy still shouldn't be distributed to everyone.

Even nukes-slash-anti-nuke-shields shouldn't be distributed to everyone, unless you're absolutely sure the shields will scale up at least as fast as the nukes.