The only case I know where police impersonation is legal is if those involved recognize the imposter is not a real police officer, and the imposter is not trying to deceive those involved into thinking he/she is. That is some very clear criteria of both intent and results which is part of the "rarely criminal" cases where without it it is criminal.
Looks like the worst they've done is made some screenshots https://twitter.com/ALT_uscis/status/833455581734326272 which don't look obviously wrong.
This is not the same as pulling over someone and pretending you're a cop. Context matters.
Context matter, which is why intent and result are part of the equation. If people are being fooled into thinking someone is a police, and someone had the intent to fool others (maybe with the intention to create false association), then that is likely fully enough to get a person charged with impersonating a police officer.
https://www.washingtonpost.com/local/public-safety/fox-news-... https://archive.fo/Sj3w8
Spreading propaganda is not criminal. Many days I wish it were, but it is not.
You have to proceed to ACTION before something becomes criminal. So, if that account shared confidential information, now the feds can probably go get a subpoena and crack the identity.
Unless they have a subpoena, this is a fishing expedition for the purposes of intimidating others.