They got the bit about nuclear power wrong though. Fission was discovered in Germany just before WWII, which is why Einstein (the real one) was concerned that the Germans might develop nuclear weapons first and advised the US to do it. At that point it wasn't obvious that a bomb was possible even if fission was, but even if it wasn't, the application of fission to power generation would still have been obvious.
If anything they'd have probably had more nuclear power generation, because the proliferation risk wouldn't have been a concern and the scary association with city-destroying weapons wouldn't have been such a PR problem.
I really enjoyed the Manhattan series, which covered similar ground. Some reasonably accurate but dramatised scenes about viability of the bomb types and exploring how to get there, both physically and in maths. https://en.m.wikipedia.org/wiki/Manhattan_(TV_series)
https://sliders.fandom.com/wiki/Asteroid_World