None of the Skybreakers besides Szeth are loyal to Dalinar. The Dustbringers have made it clear they're not part of his chain of command. That's ~20% of all Radiants right there that are not obedient to the Kholins. Plus the Reachers are reluctant to bond any humans, and the one that we know of bonded Venli, who again is not really loyal to anyone except herself.
Can you explain how Kaladin's role is passive? It seemed to me that his role in RoW was one of the biggest. He got more screen time than just about anyone (besides maybe Navani) and made a lot of important moves. He is critical to defending Urithuru. Not to mention he absolutely wrecks the Pursuer twice, which apparently has never happened in any previous desolation.