'When you notice your feelings are high, this is the perfect time to step away from the conversation, separate yourself from the situation, and go meditate in silence.'
In my experience, this is the hard part. Even if you are willing, the other party might not want to let you go. People get very upset when you start to change your behaviour and no longer hold up your end of the familiar exchange.
I would agree that there are some situations that maybe you can't immediately walk away from. If that's the case, even deep breathing can help. If changing your behavior to better yourself upsets them, it is not your worry. But if you must stay and fight it out until it's "over" I suggest to meditate as soon as you find the time to. Otherwise you might just let the argument consume you.