Websites like AskMrRobot and Noxxic are more often wrong than they are right. Import your character into WrathCalcs, get the stat weights for your current gear set-up by pressing F9 on the second page and import those manually into AskMrRobot.
10296 Haste is the breakpoint to aim for (it means you instant casts take one GCD). You can set that manually in AskMrRobot as well.
If you have the legendary meta gem, you should be starting in Solar and not Lunar (unless it's General Nazgrim where you hold your cooldowns off until the first Berserking phase).
For single target fights (talents: Force of Nature and Heart of the Wild) you start in Solar Eclipse > Starsurge on '1' to pull > Wrath until trinkets proc (unless they proc straight away) > Celestial Alignment > Moonfire > Force of Nature x 3 > the usual playstyle.
For multi-target fights (talents: Incarnation and Dream of Cenarius) I am still a bit confused myself on what the best way to go is. I guess it's something like this:
Pre-pull: HT > Astral Communion into Solar Eclipse > HT
Pull: Starfall > Potion of the Jade Serpent > Starsurge (on '1') > Wrath until trinket procs > Incarnation > Celestial Alignment > usual playstyle
Does that sound right?
Yes, that makes more sense to me, except where does Troll Berserking and Synapse Springs come in? It seems a waste to me to use Berserking in solar because of being so close to the GCD. I haven't checked up on this lately because Noxxic and Icyveins are oblivious to what the correct opening is, and it is tough to find searching through these forums, but we are still casting starfire in celestial alignment right? If we are, I am guessing the correct place to use the Synapse and Berserking would be to macro them with Celestial Alignment?