Is it wrong to be worried that his "my way or the highway" attitude will just rub a lot of the "senior" players up the wrong way?
I mean, think AVB at Chelsea.
I'm more concerned than I would have been with someone a little less combative.
No, when a manager is actually good players don't care. Mourinho is "my way or the high way", he got rid of Mata and the team didn't fundamentally revolt. Mourinho played him and the team was often better without him then he sold him in January when he wanted to leave.
By all accounts AVB had the players went through one by one telling them what their biggest flaw was, got to Anelka and Alex(who both performed consistently well for Chelsea) and basically laid in to them and treated them like crap and told them they were done at Chelsea. That doesn't command any respect and shouldn't in any way at all. He also apparently refused to allow them to be in the gym at the same time as first team players and refused to allow them access to the club's official xmas party I believe.
There is excluding a player because you believe they aren't good enough and doing it in a respectful way and there is just trying to prove you're a big man by arbitrarily picking a couple players, "destroying them" to show everyone how much power you have and being utterly insane and power hungry by trying to cut them off from everyone.
He did the same thing to Adebayor, easily Spurs best striker by a mile, and got precisely the same result at Spurs.
Yet other managers who are tough and exclude players, keep the respect of the dressing room. Sherwood didn't cut Sandro off completely he just didn't pick him for a team one weekend, Sandro acted out on twitter and Spurs won, Sherwood has since put him in the team, there hasn't been any sign he lost the squad.
It's the same in the real world, many/most people have had multiple managers. The ones who arbitrarily throw around their power gain no respect, the ones who are genuinely good at their job but very tough on those who do a poor job are often respected, the complete push overs who are nice but poor at their job generally aren't respected either despite you not hating them you also don't respect people doing a poor job.
People can respect a tough manager who they can see are doing a good job, if they are getting results, improving the team but choosing to leave you out because you aren't performing, you can understand not being picked. It can encourage a player to improve in training. Hazard was supposedly left out by Mourinho early in the year and it made him train harder and get back in the team. When someone leaves people out just because he doesn't like them, when they are performing well, to prove a point. It doesn't encourage those players to train harder, or the rest of the squad. If you see another player excluded who is better than you just because the manager turns on them will make them think how hard they train doesn't matter either, the manager will either turn on your or not. If it's not based on your performance, why bother training harder, if you don't respect the manager why work hard for him at all.
Tough managers who ask a lot but treat people pretty fairly are usually very well respected, as LVG appears to be. Almost any manager will be completely hated by a couple players, but crap managers are usually hated by most of their squads. That most of his ex players have good things to say and only a couple hate him is a pretty good sign.