I was on a whitewater trip one time and was told not to worry about bringing a FAK because there was going to be a doctor on the trip. Turned out he was a dermatologist whose first aid knowledge was about the same as most of the scouts on the trip.
I have to agree. Remember that medical school does NOT cover first aid! Even dressings in the ER are usually done by the nurses or ER techs. So, really, make sure your doc knows what to do when he doesn't have a bunch of labs, X-ray, and nurses around. Even an ER doc is out of his normal element when outside the hospital.
As for what you need, buy FORCEPS, not TWEEZERS. Tweezers are for plucking eyebrows, forceps are for saving lives.
OK, really, most of the AMK stuff is OK. I'd add some more gauze rolls, ace wraps, maybe some small burn towels (avoid the cream if someone is truly burned). Also, it might be a good idea to keep the adults up on some sort of first aid course, ie ARC.
And find out which of the scouts are really gung-ho on the first aid stuff - I was, and it's led me to EMS and eventually med school. See if they'll carry some extra items, and know about the troop FAK. That way if something happens to the adults, there's still someone that can help.