This is an example of how my experiences with the NSA jar with the press's reporting. An article in Foreign Policy Review claims that General Alexander hired a Hollywood set designer to make his command center at Fort Belvoir look like the bridge of the Enterprise. That's not the story I heard.
I visited Fort Belvoir around 2003 (I forget the exact timeframe). The story I was given is that the Hollywood set designer was a relative, of Alexander himself or one of his underlings, and that the set designer provided his services for free. Rather than a passion for Star Trek, the situation was more about taking advantage of the opportunity. Whether they spent a ton of money, or got free services, seems to me to be a critical part of the story.
Also, it's not just Federation. The exterior doors have interlocking swords like the Klingon High Council Chamber.
I point this out to show how the press creates a narrative, in this case of Keith Alexander being a "cowboy", and ignores things that don't fit their narrative. I'm on the front lines calling the NSA evil and Orwellian, but at the same time, I don't trust the press, either.