In my experience the key is staying in your seat. Let the customer service personel handle these situations. Without a nice cell phone video of 'Captain Friendly' there isn't a story for anybody to run with.

Incidentally, I can count on one hand the number of times I threw someone off. In each case the passengers nearby clapped. That tells me everything I need to know. Those who witnessed most of the interactions thought the person was a jerk.

I start my trips with a briefing that I prefer de-escalation strategies. But again I always support my crew members even when they are wrong. You are free to make your own decisions about your leadership style.