I hear the cries that "Joe must go!" and I appreciate the sentiment. But I think the problems with this team lie higher up than simply a head coach.
If the owner fires him, who does he replace him with now?....and do you trust him to hire the "right guy" the next time?
You may also have noticed the players aren't really playing so well (perhaps its the wrong players?), and there's no real depth. Sure you can say that it takes time, and Hickey hasn't had enough. But when you look at well run organizations, you can see it turn quickly in this era of free agency.
How can some teams be consistently good, in spite of roster turnover?
So the issue. IMHO lies with the owner. Pretty much everything he has done since he came on board has been handled poorly. Allow Parcells to opt out and still get paid? How did that work out? Fly to California and try to hire Harbaugh while Sparano was still the coach? Bullygate? Saying he's disappointed but not doing anything? His relationships with the people associated with the team are all complicated, and he's the ultimate boss to all of them?
These are things that don't happen to owners who truly are invested in their teams. And their communities. I go back to him not doing anything of substance here in South Florida. He expects your loyalty. but doesn't do much in return to earn it.
Sure, he put "his" money into the stadium (yes, I laugh every time I hear that). And fans love that. But when you stop and think about it, the one thing it did for him was to increase ticket sales. Sure, don't go to games as a form of protest. But he already has sold season tickets and has money from fans.
And then, next season, he will probably have a new coach AND he will be finishing off stadium improvements. And that may mean some new people will sign up for tickets. And that means he wins again off the field.
I would (and have) argue that he's happy to own "an" NFL team. I believe he tried to buy others before the Dolphins became available. He seems content to be an owner, and who knows if he give two wits about what happens on the field.
So I'm saying the only way out of this cycle is for a new owner to come in and take over. I doubt he's willing to sell, so that means we're stuck in this cycle for however long he maintains control.