Yeah, I think it's safe to say the "big three" of the new movies are Kirk, Spock and Uhura. That's no disrespect to Karl Urban, he does a fantastic job. But these days you've gotta have a woman on top. (ahem)
McCoy is not an action character. It would almost be silly to see him in action sequences. Can you imagine McCoy in Uhura's position on Kronos in the upcoming movie?
That said, McCoy does seem to have his "action" moment with Kirk in the first nine minutes. Dragged into it by Kirk, I'm sure, and not with the consequences intended, to be sure. I doubt McCoy signed up for cliff-jumping.
I must admit, I cannot see De Kelley's McCoy keeping ahead of a bunch of charging tribal natives, jumping off a cliff then swimming down to the Enterprise airlock.
AU Starfleet must be feeding their recruits more red meat.