Well… they’re dumb. Like real people. Which means that this is all a very clever comment on bureaucracy and government oversight within the military industrial complex.
It’s not a good comparison because of what’s involved. As incompetent as the US and its intelligence agencies are, they are extremely paranoid when it comes to anything to do with extremism or separatism or a big enemy like Russia. If the Jedi are standing in for the FBI or something, if anything they would be overzealous in following leads and conducting sting operations to find treasonous behavior and enemy agents. They might take the free army or the missiles or whatever weapon it is (like the scientists from Operation Paperclip) but they would be absolutely sure of where they came from. They wouldn’t ignore that part.
If they were just dumb (which still wouldn’t be a good, satisfying story) there wouldn’t be so much dialogue about the dark side clouding everything and the Sith knowing the Jedi’s secret weakness.