First of all let me say, regardless of the crap he pulls, I think that Babcock is still a great hockey coach, and to quote Stephen A. Smith, "A great leader among men", which I think is a very important trait in a coach.
That being said, I have fundamental 2 issues with Babcock as a coach.
1. His system
2. His roster decisions (which reflect the system he tries to employ)
Two things that hit home for me are: the success of Filppula after leaving Babcock, and the struggle of Weiss coming to play in our system.
We see Filppula, a talented but underwhelming player in Detroit, leave and go play in a system where he has less defensive responsibility as a center. He is doing very well and producing for Tampa. Then you have Weiss who was a productive player his whole career in Florida, but comes to Detroit where he has to focus way more on the defensive side of the puck, and he is having a terrible time transitioning.
The expectation Babcock plays on centers in his system, is very taxing, and it seems unless you have world-class talents like Datsyuk and Zetterberg, that playing center in Babcock's system makes it hard to carry out your defensive duties, and create offense at the same time.
To expand on this you look at all the comments Babcock makes, and it is clear as day he is shying away from the puck possession system that always got us success, and is gravitating towards a super-defensive, tight, "grind-em-down" system.
All of his roster decisions reflects this mentality. If you wanted to play puck
possession you would demote Abdelkader and Cleary, and bring up Tatar and Nyquist. We presently have Cleary on line 1, and Abdelkader on line 2. Despite providing little to no offensive production. We also get an injury to one of our top 6 forwards. Now you think this would be the perfect opportunity to get Nyquist up, and put him in a top 6 role that is vacant. What do we do? Promote Cleary from line 3 to line 1, and call up Glendening. DESPITE the fact we already clearly have enough centers (Pavel, Z, Weiss, Andersson). Now it's true that's Holland's fault too, but I think Babcock has plenty of pull in who gets called up or not. It's clear that Babcock loves Glendening-type players, and I'm sure Holland knows that.
To be perfectly honest, I'm not very high on either of them (Babcock, Holland). But I think based on drafting and free agent acquisitions, that Babcock wants a puck-possession system. So he has that going for him, because that's my preferred style of player. Then you see Babcock's roster moves, and how undrafted lunch-pale guys with no skill get on the team sooner than high profile skill players, and you just scratch your head. It's quite clear he has a different mentality than Holland. But what Holland did to this roster in terms of roster spots, and cap issues, is flat out inexcusable. The Sammy signing, Cleary signing, and Quincey for a 1st rounder are huge gaffes. Absolutely comical. So between the two of them, they're slipping badly.