Most US military leaders are true believers in liberal democracy and The Good of US global hegemony. The leftist observation that these systems share a material base with fascism doesn’t mean that the open fascists coming to power in the military would not be an internal power struggle. They’re different factions.
To have such a strong, undiffused, and distant light that it could realistically mimic the shadows on the moon, you would need very modern CGI to replace the shadows of every actor on every frame. Supposedly the recording we have of the moon landing is of a camera pointed at a tv screen because simultaneously broadcasting and recording at the same time was still newer tech that NASA didn’t have set up. And even then, you can see the quick falloff of the shadows and how they run parallel to each other. The sophistication to pull off a fake was just not there.