As for the OP, I don't think Tullius is a poopyhead. lol He's a good general and a decent man. I prefer it that way, where you have good, competent antagonists on both sides. I do wish we had learned more about Tullius personally- he doesn't seem fleshed out.
Yeah there's a lot missing from Tullius's backstory. Given some of the remarks he'll make I tend to infer that he's frustrated with the elder council. (He mentions he gets enough problems from politicians) His dialogue at the end of the war, and cut dialogue at the embassy implies that he'd prefer the empire dissolved the WGC now instead of waiting. But he still has faith in the empire as an institution and what it stands for. He seems to be a good tactician. Prefers a more cultured lifestyle. War-weary. Views the dragonborn as a symbol of hope to revitalize the empire(near the end of their questline)
I wish he had said more because he seemed to have a good view of the political side of the empire.
Alvor tells you point blank that until Ulfric started making trouble no one paid much attention to enforcing the treaty everyone had their own shine and worshiped secretly in their own home. You can complain all you want but it doesn't change the fact that there wasn't a real crack down on Talos worshipers until Ulfric demanded free worship of talos in return for freeing the reach from the forsworn.
And you're completely ignoring how recently after the great war that was. Yes the incident was used as their reason for enforcing the WGC. But it happened less than a year after the WGC was signed. To say that the thalmor would never have sent justicars into empire territories after the great war is disingenous.
It is shown there are a number of Imperial supporters who may be secretly worshiping Talos. As proven in Markarth the Thalmor aren't allowed to break into peoples houses looking for evidence, they actually need permission from the Jarl for that. Which is why that Judicator may try and hire you. Ulfric's rebellion makes the Thalmor's job easier as each and every stormcloak is an open Talos worshiper. Plus the whole it weakens the Empire and Skyrim.
Yep, the stormcloaks are worshipping Talos. Didn't see any of their supporters get sent to prison and tortured though. You'll note a distinct lack of thalmor presence in stormcloak controlled cities.
Imperial Supporters give plenty of evidence.
Sure, they just fail to follow through on the implications of what that evidence means. To use an imperial term. They fail to look at the big picture.
In the 21st Century thats true but go back a thousand years and if your arrested alongside a bunch of rebels you're dead
Except TES has actual recorded trials, both in game(Daggerfall) and in books.