Three bosses on three connected platforms make up the encounter. You'll be switching between at least two of them throughout the fight.
Anshal is preferable to Rohash for Moonkins despite him generally being the 'melee platform'. We gain more from the multi-target nature platform than the single-target wind boss. You definitely want to have your RL place you with Anshal, along with any other strong multi-dotting ranged classes. This is different than a 'strong AoE class' since the adds should all be killed separately by dps here, not grouped up as they provide stacking debuffs if close together.
Ideally, place yourself in a Solar Eclipse for the add spawns. Being able to double-DoT each add as it spawns will spike you extremely high. Any haste procs you have available are best used here before applying DoTs to add extra ticks (Nature's Grace, Heart of Ignacious, Power Infusion, etc). Just make sure you calculate which you need to reach the extra haste breakpoints for IS and MF/SF.
Starfall should be saved to finish the adds. This allows all other dps to establish threat on them so you aren't insta-tanking all of them. Just in case you still pull threat on many if not all of the adds, use this to your advantage by placing a Mushroom pack at your location before the fight starts. As they reach you, back up and detonate for a massive-damage global.
They'll quickly be cleaned up in time to transfer to Nezir's platform before an ultimate where you can begin a single-target rotation. If you get an instant Starsurge, the Shooting Stars proc was increased to 12 sec, so you can afford to save one while moving from one platform to another.
If you're not lucky enough to be assigned to Anshal, then Rohash still can be done well. He isn't tanked and stays in place, allowing you to start the fights with a Mushroom pack already in place, waiting for a Solar Eclipse to detonate.
Keeping your damage up while moving to avoid the Wind Blast will be key to maintaining high dps. If you've already burst your shrooms, you have enough time to replace a triple stack while avoiding the clockwise blast. Remember the closer to Rohash you are, the less you'll have to move to avoid a Blast but the more you'll have to move to avoid Tornados.
After the first ultimate ability is finished, you should be wanting to return to Rohash from Nezir's platform. It's important here to watch the timer for Wind Blast. You don't want to jump back only to arrive into an unavoidable Blast. It's preferable to wait until this CD is over before returning the first time. The timer is more forgiving on the second return and you should have ample time to get back and prepare for an incoming Wind Blast.
Lastly, have not only travel form close by, but a Cat Form-Dash macro for switching platforms the first time. If your raid dps is slow, you'll have it up again for the final switch to Nezir. If you're on Rohash, you'll likely have a long run to reach Nezir since he should be tanked close to the Anshal side of his platform to accommodate the switching healers' ranges.
You'll want to plan accordingly to have cooldowns ready to stack on the ending burn on Nezir. This is where Bloodlust/Heroism is ideally spent and Nezir will have a full complement of raid debuffs on him. If he has enough health left to get use of a full duration of Volcanic Potion, then that's a wonderful use of your second dps potion for the fight. If he's too low and will die significantly sooner than the 25-second duration, you might want to use the in-combat potion during the second spawning of Anshal's adds.