Not quite the same thing, but I have a lot of ultra lefty "fuck the fed" friends and I basically just jokingly call myself a government desk minion when the topic comes up to avoid getting into an awkward space, especially since it's a law enforcement org though thankfully not a remotely controversial one. If the mere mention of your organization is just inherently going to annoy people, keep it simple and to the topic of what you do- ie I'm a program a manager at a small non profit in DC and my day looks like this, this and this.

Kinda helps if your organization has a long, unfamiliar acronym because then people's eyes start to glaze over pretty quickly when you start explaining and it's real easy to change the conversation to something more interesting haha.