I don't know how Delta pays it's pilots. I do know that when the door is open and passengers are boarding or deplaning I'm off the clock and not getting paid, so consider the following:

I am not on the clock, not getting paid, not performing assigned duties..
If injured trying to defuse a situation will workmans comp apply? Who pays for my lost trips while I am being investigated or sued by a passenger or physically disabled?
I have no training in domestic violence resolution.
We have trained gate agents and law enforcement to deal with these problems.
I get you to the airport. After that, not my circus, not my problem.
If that sounds callous. It is. It's also good advice from someone who has been hauling people around a long time.

One caveat, you assault my crew all bets are off.