Just my suggestions from last nights fight:
Round 1:
PLD -> BLM -> BRD -> RNG -> THF-> WHM -> WAR
I found whm to not heal for enough/often enough to merit killing it over other higher dmg classes, but alot of people seem to want to kill WHM after BLM. BLM, WHM, RNG, THF all ignore agro, WAR and PLD will follow their main agro around, and bard will as well if it is not singing.
Round 2:
As long as you killed all but 1 in phase 1, the ae wont kill you.
PLD (melee LB and dd kill asap) -> BLM (have pld tank this while dd kill PLD, just to stun flare) ->WHM -> BRD -> RNG -> THF -> WAR -> KING
PLD (or war) grabs blm and keeps flare stunned, he wont spam it so war on 30s stun should be sufficient. Once DD kill the PLD, pld tank should be running around trying to get agro on THF/RNG/BRD and DD should be killing moggles in order.
War (or pld) grabs king+war moogle, and runs to the edge and tanks them. You need to dodge kings ae, but not so much the warriors, if you can great, but it doesnt do a lot of dmg. We found it not needed at all to kite the king/war, as long as your off tank can dodge ae. Actually i would say the pld is an off tank since he needs very little heals since most moggles ignore agro anyways.
As long as all DD assist and blow up moggles asap on the same moggle it goes fine.
A lot of people will say do PLD later in the fight, but if he charms people, charmed people run towards AE, the charm is cureable, but killing pld is so much easier.