Drunk drivers are flat-out dangerous to everyone else around them, and to themselves. I've seen the results more than often enough.
The officer was right. Give a warning to the entitled assholes on their phones who can't wait to do business until they park. Maybe to the guy making a suspect U-turn looking for a parking place. But for a driver who displays dangerous actions, pull him over. As for the celebrity thing, "Tell it to the judge". Case closed.