At this point it's not even Mike Milbury's fault. I suppose we could blame him for sitting in front of the nation and urging players to put the careers - as well as long term health - of their peers at risk, but we can't blame for still being given the platform to do so. Most hockey fans, myself included, want the guy to be off the air as soon as possible and I'll be damned if he's not doing everything in his power to make that a reality.
One man can only do so much to lose his job. Doesn't matter how many bad goals he gives up, it's not a starting goaltender's job to pull himself. Mike Milbury isn't in charge of doing the firing, but being a strong advocate of more broken bones and lost brain cells is just about as close as he can get to officially asking for his walking papers. When you're in a battle of ineptitude with someone that compared the work ethic of Sidney Crosby and Jonathan Drouin - just moments before Sidney Crosby scored in overtime - there's not too much else you can say to continue to look like far and away the least competent person at your company. He did just that by suggesting that athletes should actively attempt to cause more head injuries. By encouraging an increase in concussions he picked his hill to die on, but he still needs someone else to pull the trigger.
He's not going to break his contract by resigning. He might be dumb, but he's not stupid. That incredibly frowned upon opinion wasn't just something that slipped off the tip of his tongue. Just because it wasn't remotely intelligent doesn't mean it wasn't well thought out. I personally think we owe Mike Milbury a thank you. I refuse to believe that someone who gets paid to talk on television is as inept as the words that came out of his mouth last night, and therefore I have no choice but to think he is trying to get canned on behalf of an audience that universally hates his guts.
P.S. When I was a kid my youth hockey coach told me "don't fight someone unless you are prepared to kill them". Probably not the greatest advice in the world but his job was to scare discipline into me, not pander to a national television audience.