Honestly, I have (almost) only ever seen NYPD officers standing around with nothing to do. I don't know if that's because they are drastically overmanned or because they intentionally deploy loafing cops for the deterrent effect.
It is what uniformed police officers are supposed to do in popular imagination. Many in evidence in most UK cities in the run up to Xmas.
I live in NYC, I have seen this happen.
Of course, it is much more difficult and disruptive to ticket a car that has just blown a red light at high speed, than a biker who has blown a red light. Unfortunately, the city isn't allowed to install red light cams in most places because of Albany. Red light cams would be a safe, fair counterpart to increased red light enforcement for bikes. That being said, very very very few people are injured and none are killed because of bikes running reds (neither collision in Central Park this year was at an intersection). Likely hundreds are injured and at least dozens are killed from cars running red lights every year.