Consider this: Crystal-like-Law is destroyed, Altmer are desperate. Jyggalag is freed from Sheo around the same time the Thalmor are formed. Who is Jyggalag? Their Knight in CRYSTAL armor. Wink, wink. It would explain their extreme view on their corrupted version of true anuisim. Jyggalag is the extreme end of perfect order.
That and it gives Jyggalag solid involvement in the next TES
The whole Jyggalag-Sheo thing was a mirror image of Auri-El/Lorkhan.
Jyggalag represents Auri-El of Anui-El. Sheogorath represents Lorkhan of Sithis.
Ummmm so what?? Let me go into detail here.
Auri-El seems quite lethargic in his purpose. So if he will no longer enforce Anui-El's will, then who will?(Thalmor extremist perspective) It would have to be Jyggalag then, as befits his role. His sphere. And of course, his resemblance to Crystal-Like-Law. Let's break it down.
*cue insane rambling*
Anui-El begat Auri-El to maintain the Status Quo. To prevent chaos, or the "Trick." Auri-El failed. And now he resides in Aetherius, doing... nothing.
Jyggalag is Anui-El(Order) extreme.
Sithis begat Lorkhan to counter-wise, destroy the universe. The Is-Not. But... Lorkhan failed. And now... he's "dead."
Sheogorath is Sithis(Chaos) extreme.
Both Auri-El and Lorkhan failed to accomplish their intrinsic task as dictated by their primordial "Father."
So if Sheogorath is an extension of Lorkhan. Then wouldn't that like-wise, make Jyggalag an extension of Auri-El? If Sheogorath is Lorkhan's Divine Spark. Then Jyggalag is Auri-El's [insert catchy term]?
Sheogorath is the weapon of Sithis. If left unchecked, there would only be Chaos.
Jyggalag is the weapon of Anui-El. If left unchecked, there would only be Order.
Or maybe I'm just rambling here...
Actually, I can stretch it even more...
Lorkhan is "dead." But then we have Talos come along and mantle him. Therefore, that would make him Lorkhan incarnate.
8 + 1 = 9
Auri-El is "inactive." But now we have Jyggalag freed from Sheogorath. With the CoC mantling Sheogorath... this rather ironically, gives birth to his antithesis, Jyggalag.
16 + 1 = 17
17 - 9 = 8
16 - 8 = 8
So Jyggalag would now be Talos' antithesis. So if Talos is keeping Mundus(the Prison) together, then Jyggalag is the force to remove the glue. To break the Prison! He's a threat to Talos. Jyggalag is the answer to the Thalmor's prayers.
But if so, then where does that leave Sheogorath in the scheme of things? A wildcard? Because he is so extreme, he supports no one. But he has to inevitably conflict with Jyggalag right? However, this conflict was the Greymarch. So if the Greymarch is ended, then Sheogorath no longer anchors Jyggalag... And if Jyggalag can't enforce his sphere on Oblivion(the Greymarch) then that leaves Mundus. And Mundus' champion is Talos. 17 - 9 = 8 because 16 - 8 = 8
Talos and Jyggalag are oddities in this kalpa.
Jyggalag is the Crystal God. His Knights are crystal constructs, and they came from crystalline obelisks during the Greymarch. A lot of crystals there. Now take into consideration Crystal-Like-Law. A literal crystalline tower that housed all of the Aldmeri culture that kept the Altmer, well "pure" and true to their ways even in the harshest of times.
Oblivion crisis happens and the Daedra completely raze the tower to the ground. Around the same time, the Oblivion crisis ends, Jyggalag is freed. Thalmor are formed. Now I'm not saying they were Jyggy cultists at first... but they likely caught his attention(or he caught their attention) and thus a connection was made. The crystalline Daedra, hated by his Daedric brethren happens to be the one Daedra these crazy Altmer can relate with, and he also just so happens to represent crystals...
His sphere and methods no doubt seduced them, and they likely see him as their fallen champion renewed, or something along those lines. So now we have the Thalmor in full force 100 years later, trying to achieve their goal of perfect order and Stasis, which fits in nicely with Jyggy's sphere of order and cold logic.
Jyggalag could in theory, benefit from this. Mundus is chaos, and in mythology, men are the children of Lorkhan who is chaos. Destroying that and unbinding the Dragon would lead to permanent Stasis.
Assuming it all works of course, but I doubt we'll find out... Doesn't mean Jyggy and the Thalmor won't try. Or perhaps the Thalmor seek to use Jyggalag as a means. If the Thalmor are destined to fail then Jyggalag would predict this. So why go along with it? Jyggy is smarter than he looks. He like-wise sees the Thalmor as a means to his end. Through their vigorous worship and enactment of his sphere, he gains power from the whole ordeal. Whether the Thalmor fail or not is irrelevant to him. either way, he gains the necessary influence to manifest on Nirn the same way the other Principalities do. And now he can work on his obsession with Order on the Arena where it's fair game. Instead of pissing off the other Princes again.
It's highly likely his absence in Skyrim is due to him taking the time to obsessively rebuild his own realm with meticulous detail. Could also be collaborating with the Thalmor during his leisure time of course.
The main crux of all this: Jyggalag gains the Thalmor as followers who INVOKE his sphere by obsessing with Order, and attacking other nations for that purpose. By gaining servitude, he'll be able to make his presence known to the people of Tamriel. Specifically, the OCD people obsessed with order and what-not. He wants to play the same game his brothers are playing. He wants to enforce HIS sphere on Mundus along with his brothers enforcing their crap down their followers throats.