Georgia Governor Brown took actions that crippled the Confederate war effort far more than what Vallandigham did to the Union war effort. Was Brown ever arrested like Vallandigham was or did the Confederacy tolerate such actions?
I provided a link above that dealt with Brown's opposition to Confederate conscription and the suspension of habeas corpus. Here is another link that summarizes how Brown crippled the Confederate war effort: Link.
There's no comparison.
Georgia's Governor Joseph Brown was a Confederate patriot, who championed secession and acts of force which led to war.
During the war, Brown did everything possible to keep Georgia troops and civilians supplied with necessities.
Brown's problem was two-fold:
But Brown did not publicly oppose the Confederacy, or the war -- just the opposite.
Instead, he lawfully worked hard -- with increasing backing from Georgia's legislature -- to support and defend Georgians, over the demands of the Confederacy's central government.
So there is no comparison between Georgia's Governor Joseph Brown and Ohio's former Congressmen Clement Vallandigham.