Which of them is tough? Parros is a gentleman. Even in the good old big bad days, George never started anything like a brawl as retribution for losing - frankly that isn't his role. He's the police, not the outlaw. So who else is there?
Other than Beauchemin and Brookbank, there's no one on the team who could conceivably win fights consistently, let alone start them. Pelley? No. Beleskey and Sbisa will fight, but it's not really instinctual for them.
Why would they goon up games they are winning or tied in? And the players who were on the ice in overtime aren't going to start anything. Not sure where this discussion is coming from.
And what's with all the wanting a fight? You don't start fights while winning, and they were already dominating play after the game was tied. The only likely tactical benefit of any fight would be to hand Columbus the momentum when whoever steps in to take Parros's fight gets his ass beat.