Then it shows that the previous leadership mentality simply hasn't worked. Still in a bad situation, like we're in, with a bunch of alpha-personalities. Well it's understandable there may be some head clashing.
That being said, a lot of my own don't necessarily like my leadership style but I got the job done, and they recognized that. And eventually my own troops respected me for it. While my peers still didn't approve, it only showed that to be the best you have ignore those that aren't sometimes.