People that have a police car behind them pulling them over should put on their hazard lights and continue slowly driving to the nearest densely populated public place, such as a supermarket or shopping center. Pull over outside the busy entrance and start your video camera. Inform the police officer that you are video recording and very slowly give the requested documentation. Exercise your legal right to silence while the many independent witnesses video record the unexpected stop that rudely interrupts your day. If you are given a ticket, choose to go to court. It will give you time to obtain independent legal advice about the allegation.
If I am ever unexpectedly stopped in my car by the police, my response after pulling over in a populated area is to politely and clearly inform them that I am unarmed, I am recording everything, if they want to take me to the police station that they will need to appoint a lawyer, and I am now using my USA federal right to silence.