My loose understanding of use of police horses is it’s for crowd control, but that if a team is doing this correctly it’s a question of shaping the situation more gently than that. Not intimidation or threats of immediate violent crushing or trampling. That mostly if you need an immovable obstacle in a spot put your horses there.
Anyway, the NYPD horses that I see on the regular (their stable used to be on the Hudson River Greenway) look decently happy and well-cared-for. Certainly far more so than the Central Park carriage horses.
You would not succeed. If a K-9 officer tells you to do something, do it. Fight the fight in court another day. Those dogs are very very strong and trained to be extremely vicious. Anything TV and movies have taught you about distracting or fighting off attack dogs is wrong. You will lose your arm in the attempt.
As a longtime area resident, I can confidently state that the RPD are a bunch of out-of-control bullies and have been for decades. They seem to be getting a whole lot shittier lately. This asshole needs to be sacked and criminally charged, but nothing of the sort will happen. You know what I’d like to see? RPD cops being tested, regularly, for cocaine use on the job. I say that because I know things.