It sounds like the Mayor tried to force the officer (who is the only officer in this city) to enforce an over-zealous speeding rule. And the implication is he didn't want to, so the mayor put him on leave.
You made me chuckle, and I hadn't thought of all the ACAB and such comments as 'chirping'. Chirp, chirp!
Back in the day before the gray, with no internet yet, we used to say "Fuck the police" and hearing it still makes me feel all warm and fuzzy. More often it's ACAB, these days. To me such comments are just commiseration. It's saying, "What can ya say?" or "Solidarity, bud." I'm all for talking specifics, but it doesn't hurt, even helps, to be reminded that others share the frustration.