I'd be very comfortable, because I'd know it would have to be serious if they are going to pull the "trade me or fire him" card again. You lay out to management what kind of coach you are. And then you continue to be yourself.
That seems like a pretty naive way to go about a management career. You're in charge of a room full of guys who organized to get the last coach fired. You think that group is going to be highly disciplined when you get there? Think you're going to motivate them for years on end by playing nice and avoiding conflict? At some point you have to be the bad cop, and you're doing it with guys who already know what will happen if they form ranks against you.
Generally the best move after a clash between supervisor and employees is to clear out the whole lot of them and start over. It's very hard to erase the toxic stain.
Simple. Use minutes as punishment. Take Kadri & Huberdeau off the PP and watch how quickly they shut the **** up.
Kadri and Huberdeau are BOTH signed through 2030 with no-movement clauses. They will outlast the next coach and can't be traded without their own approval. Benching them makes them untradeable anyway, and likely tanks the team even further, and meanwhile those guys just sit and collect $7 million/$10 million a year.
Again this is a huge red flag situation for the next coach. Kadri and Huberdeau can't be touched, they can win a game of chicken and they know it. The rest of the talent can walk away next summer if they don't like what they see. It's an impossible situation for a coach to instill any sort of discipline in that environment, and management knows it, so you're highly likely to end up with a pure "player's coach" where you're playing pond hockey.