The Mol only participated because their gods told them to, and had we and the others not been there, they wouldn't have had a chance, as they're both a small tribe and not very talented as fighters, generally only fighting for self-defense.

I'd imagine they'd probably just back down and let the Oronir and Dotharl go at each other's throats as per usual.

The Naadam really didn't feel like that important of an event when there was only three tribes actually participating in it (At least as far as we could see), though. Gameplay limitations aside, if it really was a big deal, you'd think some of the larger tribes like Adarkim would show an interest in it, though if their khan succession process is as much of a trainwreck as Adkiragh and his brother make it out to be, they might just be too busy fighting each other to care about that.