Here in the Pacific Northwest, this is all too common......serial killers, cults, meth heads, and LARPerators. Sometimes the people meet several of these types. Then, you get the radio whackers.
Some are smart enough to get their hands on 7/800 Mhz radios, as King and Snohomish counties in Washington State went P25 Phase 2 recently, lots of Phase 1 gear is out in the market place. There have been a few that even tried to sell non-affiliate programmed radios, stolen from fire departments (APX6000 and APX8000), on auction sites.......with their stickers and labels of ownership intact (hope law enforcement jumped on those, as they were tipped off).
These people are dangerous, as many are criminals, or using the ruse to get close to victims. What I find strange, is that people do not seem to recognize the different from their local police and someone trying to look like one. Some may look convincing to some, but radio gear is one aspect I have told a few people to recognize (fire is easier, yellow radio with a fire truck underneath them). Doubt the person carrying a Baofeng, Wouxon, or Anytone radio that claims or is dressed like a first responder.