You can battle dumb.
If these guys were bodying up their men and they're getting pushed out down low or overtaken with tips, so be it. But Nuggets are constantly in a jump battle for the ball on the rebound. That tells me that you're busying watching the ball and not your man. Put a body on them early, press early, and you don't have to play jump ball every possession.
Kings battle, yes. But if you keep losing these hard battles your morale will drop and you're going to start pointing fingers. Battle smart.