I don't think he'll have an issue with the action. Although I'm of the impression he's also controlling, but he always had a writing staff that at the very least contributed story lines and whatnot. I'm sure he'll have no problem taking credit for any ideas they push him into. I also think he's a great writer and story teller. It may not be his strong suit, but I'm sure he would be more than capable when it comes to writing any sort of story, including scifi and action.
Yes, one key thing about action scenes -- doubly important in Trek -- is that action scenes need to come from the story organically, with steps taken to get to that point. They can't be arbitrarily thrown in there just for the sake of eye candy (Agents of SHIELD, I'm looking at you), because then you don't care about the characters and there's zero tension.
I would think that with Trek, action scenes come with the territory and thus whoever wrote it (Sorkin, etc) would naturally take that into account. Just hire someone else to write the action scene itself with the beats that you want and then you're good to go.
Though, frankly, I'd be really curious to see Sorkin's version of Q-Pid, tights and all. Our heroes were already cynical and annoyed once they were transported, but add in Sorkin's dialogue to the cynicism and we could probably get some verbal gold.
Edit: Now that I think about it, while there was definitely a decline in exploration in Trek, there was also a decline in that sense of awe and wonder. Fantastic situations are great, but it's pointless if all our heroes do is stand there without a real sense of curiosity -- Picard's lip service is sometimes just that. Even Star Trek V had a brief moment of wonder when the ship was about to enter the center of the galaxy (but it lasted all for a moment, and that barrier wasn't so impenetrable after all). What I would like very much are:
1. a return to exploring the great unknown
2. the sense from the crew that they've truly gone where no one has gone before. A healthy mix of bravery, fear, surprise, intrepidation, and most of all, curiosity.
Anyone can concoct a situation, but it takes a real writer to have people with realistic reactions when coming face-to-face with what's out there.