I used to enjoy the Judge Dredd comic strip. It was so outrageously OTT law enforcement, with criminals getting their come-uppance in very short order indeed. The movie, starring Sylvester Stallone (what happened to him? Do I care?), was completely dreadful (if you pardon the pun) but no more dreadful that the idea of a one-stop cop shop in a police car. While I don’t have any problem with the idea of reducing court time and costs, this will quickly degenerate into a revenue gathering exercise, just like traffic control.
Processing other crimes in the same manner as traffic will just add those crimes to the long list of ticketing offenses and do absolutely nothing to reduce the incidence of those crimes: for that you simply need increased police presence, not police distracted by writing innumerable tickets.
This idea is just an expansion of the IRD-on-wheels. Worse, it might herald a slow slide into the world of Judge Dredd.
I preferred him in comic book form.