People on this site, heck people that have posted in this thread, have been calling for Doc's ouster for years
I remember reading people calling for Doc to be fired in the middle of the Atlanta series in 2008
And the Cleveland series
And after an 18 game losing streak
And just before KG's injury last year
And now
Doc isn't going anywhere because Danny is loyal to Doc and believes in what he is doing, his system, and his ability to handle the players and develop them
Coaching in the NBA, and professional sports in general, so often is judged by fans as in game moves when that is probably the least import part of what they do or how front office personnel judge them
Doc isn't going to be fired for his in game moves people so you might as well come to grips with it
Many of Doc's detractors have never thought he was a great game manager. His rotations have always been puzzling, and his use of timeouts is highly questionable. His "Xs and Os" have generally been pretty good coming out of a timeout (at least in the past few seasons), but this year even that has been a bit of a weakness, as he's deferred much too much to isolation plays (usually for Paul Pierce).
What Doc has been is a good player manager. He's managed a lot of different egos, and kept players playing hard. However, at this point, I think it's fair to question whether he's succeeding in this regard. He said before the season that the team had problems with ubuntu last year. This year, there has been more of the same, at least according to players that have spoken with the media. Additionally, multiple players have said the team is bored, unmotivated, etc. Because of this, we're losing games that we shouldn't, which is affecting our playoff season, and by extension, our ability to win a championship.
Primarily, the lackadaisical play is the fault of the players. However, isn't one of the jobs of a coach to get his team ready to play? If the rotations, timeouts, and play-calling is going to be mediocre at best, you need somebody to rally the troops. Right now, for whatever reason, that isn't Doc.
Hopefully, things turn around in the playoffs, but thus far, this has been a disappointing season for our coach.