Edmund Blackadder
Scooby
It's interesting that many assume that Wes made the natural leader of AI, considering his background with the Watcher's Council.
Yet, Charles had more experience actually fighting supernatural beings and had been the leader of a gang. Combined this with his natural intelligence and his personality, I think he would have made a natural leader of the AI just as much as Wes. But I guess that most think the same way as Fred does . . . he's the "muscle" and nothing else.
By the way, I'm still upset that Wes and everyone else believed that he had the right to threaten Charles with being fired. Yes, Wes was the leader of AI when they were involved with cases. But Wes, Charles and Cordelia were still equal partners in the agency. Wes should have threatened Charles with the possibility of him and Cordelia asking Charles to end the partnership, not threatened to fire him.
For a start...its GUNN.
Charles was his christian name BUT he was constantly refered to as Gunn, that is who he was in the show.
Secondly, at the beginning to mid-way through season 2, Gunn was the leader of his crew AND a fighter.
He exhibited none of the grey matter needed to run a Private Investigators.
Your problem seems to be that you are focussing on the fighting not the rest.
Gunn began to show himself later, mid season 3 BUT before that he was very little else.
Infact the worst crime of character was done to Gunn because of the way they changed him.
Gunn was intelligent and streetwise while being a good fighter, thats perfectly fine if you run a crew that is trying to survive and occasionaly stake some vampires, BUT if you are trying to run a business that is viable, that needs to be able to differentiate between demons to find the most effective way of fighting them, then you need someone with some fighting ability(at the very least) and a whole host of book smarts.