I think it's a private matter, with two caveats:
Wealthy people seem to get off easier than us common folk.
If that were any of us, we'd be given a Breathalyzer test at HQ, and the car impounded.
The second: Many states have mandatory arrest, if Domestic Violence is determined. (Watching those Ally McBeal re-runs has finally paid off.)
Florida State Law - Chap 741 Domestic Violence: "Whenever a law enforcement officer determines upon probable cause that an act of domestic violence has been committed within the jurisdiction the officer may arrest the person or persons suspected of its commission and charge such person or persons with the appropriate crime. The decision to arrest and charge shall not require consent of the victim or consideration of the relationship of the parties."
I pity the fool that could've been walking their dog, and it peeing on that hydrant right at that time. (Said in my Mr.T voice)