This quite literally happens with the FBI on a regular basis. Most recently, the plot to capture in Michigan governor was in fact founded, organized, and mainly

This quite literally happens with the FBI on a regular basis. Most recently, the plot to capture in Michigan governor was in fact founded, organized, and mainly staffed by federal law enforcement. They goaded a handful of 'regular' folks into signing onto their honeypot and 'busted' them for terrorism. FBI comes out looking like heros; keeping them relevant and well funded during a time when law enforcement popularity is waning rapidly.