I could see you guys being a doomed to fail faction attempting to mediate the two wars. War breaks out somewhere and you implore both sides to cease fire. Sometimes they might call it off, sometimes they may not. A pure RP faction, never aggressively interfering.
Of course, you could also play a more corrupt group, taking bribes from either side, then talking to the other side into believing their foes will break off or leave peacefully, then call in the cavalry. Might be interesting, just don't know how it would play out.
But the GMG thing needs to go... Did you catch that? o.O