Would a strip-search be too far regardless of the arrestee? 
A cop is always on duty. That’s my understanding. The strip-search went too far though. Regardless of what she said, was she an imminent threat to the LEO?, to others? Did he suspect drugs? He better have a damn good reason.
“A cop is always on duty. That’s my understanding.”
Not my understanding but I’m not a lawyer. It’s one thing if he’s off duty and happens across a problem and takes action.
Its another if he’s getting paid on the side and arrest someone who has a disagreement with his employer. IMO he’s operating outside the bounds of his official duties. Otherwise we are saying the police are at the beck and call of anyone who has a few bucks. And since this didn’t happen in New Orleans, Jersey, or Chicago we know that just isn’t true.
Would a strip-search be too far regardless of the arrestee?
I doubt that the arresting deputy did the strip search. That is usually conducted by the jail guards.