When two protesting sides begin to fight, with physical violence.
As Thomas walked down the street, he saw a heavy burmish, these happen all the time where he lives.
The Burmitching point is when to sides are ABOUT to break out into a Burmish. In which you should run away.
Thomas watched as the anti-vaccine protester hit a pro-vaccine protester with their sign, it had reached the burmitching point.