Games? Like... those strategy games Traynor and joker are always talking about? But yes, it would be in everyone's best interest to work together.
My experience is the ones that don't want leaders are the first ones that come crying for help. Not interested in any pissing contests either. I just something that needs to be done, and no one else is doing. Best leader for that job is the one willing to step in and do something about it.
Looking at this map, there would appear to be several different areas, and I'm betting even more to be discovered. And, we're likely all scattered about. It would probably be best to see who has any sort of military training in each settlement/town, and start focusing on ensuring proper training for defenses. Then we could focus on seeing just what exactly is out there that we don't know about, and possibly get more intel on the place.