What about all the radioactivity that would eventually accumulate? Who wants to be a millionaire if the only place you can spend it is in a radioactive wasteland? “The paradise formerly known as the Bahamas…” And then, eventually, “the formerly inhabited planet known as Earth…”
Milton says that Lucifer said, “Better to reign in Hell than serve in Heaven”. Do you think this “dictatorship” that goes around dropping bombs on people would be pleased with those results? Seems like it would be violating the Prime Directive that says, “You don’t shit where you eat.” Seems like maybe this bomb-dropping dictatorship might figure that out, after a while.
It’s starting to sound like some of those Cold War sci-fi stories, where the evil alien dictatorship (read: commies) really does rule over a radioactive wasteland, but Johnny America saves humanity, just in time, with his left-handed frannistan…And then they all build bio-domes and settle down to wait out the half-life…
In the OP’s situation, you’d have a huge Cold War-style arms race, because nobody’s going to just sit around waiting for Uncle Sam to drop a bomb on them. Then you’d have World War III. So now it’s like one of those sci-fi stories where they go back in time to try to change things, only to discover that you can’t really change things.
Also, in terms of psychology, governments that concern themselves a great deal with stamping out all opposition generally don’t concern themselves overmuch with abstract do-gooder concepts like “world hunger, eradication of disease, etc.” I didn’t notice the Nazis doing much towards eliminating world hunger or eradicating disease (unless you want to count all those experiments on Jews).
And now that I think of it, I suppose that this bomb-dropping dictatorship might actually prefer that “world hunger” and “disease”, at least the parts that affected the opposition, would continue–less opposition. They might even investigate the interesting possibilities of germ warfare, and a global “scorched earth” policy. Spray some Paraquat on those Ukrainian wheat fields, that’s if the radioactive fallout hasn’t already messed them up good…