P1 you need to kill the moogles was fast as possible, at the end of P1 need to remain 1 or 2 moogles....if you ask why the reason for it is simple! At the begining of phase 2 when they summon the King, he will make an attack witch kind a the same as Titan befor heart phase ! The more mooogles are alive the more dmg it will make with this attack so it can 1hit kill you!

In P2 the Magician moogle needs to die first because it makes big aoe attack with with a lot of dmg, then i think needs to die the moogle with the sword and shield a i think he is the one who makes a pull atack witch also stuns you, after that the bard needs to die then healer!

With a aprty in DF we were until last moogle and king unfortunatly later one of the players got dc and the party was gone

I hope i helped a little bit !