Hey, something I can speak knowledgeably about.
The main problem is how they proposed the idea. They didn't propose a bomb powered star cruiser that just reloaded in orbit and never landed. They proposed traditional rockets, so they would have blown a lot of nukes into the atmosphere. Plus tense political relations during the cold war led to no nukes in space.
Was it a good idea? Yeah, they just needed some changes and a different political climate.>>5616>Fall to Earth
Okay, 2 things
1: Unless the original ship was gonna hit Earth, the bomb wouldn't hit Earth because how orbits work.
2: the nukes would burn up on re-entry, never hitting the surface.