i really felt like carol was meant to be an embodiment of max, and how max acted at home. and the other wild things were meant to symbolize other aspects of max's life.
we saw max(carol) wreck his sister's (kw's) things when she left him for her friends (bob and terry) and throw snow balls (dirt clods) at others (the wild things) until things escalated too far and it ended in tears.
eta
the children's book was a strange breed of children's book. it was upfront that its pretending was pretending. usually, children's books aren't so honest. max imagined everything that happened with the wild things, and he put a lot of his own actions into theirs. and the wild things in his mind were just as unruly as the ones we saw on the screen. they wouldn't always listen to him, and they demanded too much of him, in his position. the movie took this to another level.