I don't know much about the current state of plot speculations, but isn't the logical next step in the story for the Crystal Braves, or at least the 1st and 3rd battalions, to go rogue and side with Adeledji?

Seemed to me that was in the cards all along for several reasons. Ilberd and Yuyuhase have clearly been scheming against the others from the start.

The Crystal Braves don't really have any point to being in the plot if they don't go bad. I'm hoping Alphinaud does too actually. The kid is way too obnoxiously flawless, and with his cynical worldview I could see him turning the Crystal Braves on Ul'Dah in a misguided attempt at fixing their problems by force, which would play right into Adeledji's plans. Then Alphinaud would finally get taken down a few notches once he realizes he's ruined everything.