That would never work.
The "rev'nooers" would all wind up shot, and the "peace-officers" would be assigned to investigate.
The cycle would then begin again.
Rev'nooers would pretty quickly learn not to engage in tactics that will get them shot. At least, if the first batch didn't, the second batch would.
Of course, it would be no longer be possible for governments to use certain techniques to raise revenue or harass citizens, but most of the techniques the government would "lose" are ones it should never have been able to use in the first place.