Uhhh, it would take him just speaking to deal with the situation but he doesn't. All he has to do is just tell guards or something to deal with them, but he doesn't. More and more it's simply looking like they made the Stormcloaks out to be the "lesser" bad guys in this game with the Thalmor being the number ones. Also another unrelated comment but Lydia kept shouting Skyrim for the nords battlecry all the time in battle so I replaced her. I know it just means they want independance from the Empire but what it means and what it sounds like are two different things.
If I put it this way then. We can all agree that an Allied victory against Nazi ruled Germany was the best outcome of WW2, I doubt that there are many, if any, who would dispute this. The allies were not saints, however. There was plenty of [censored] and looting on the western front, as there is in any war. The officers probably dealt with this to the best of their ability, I do not doubt that, but there was only so much they could do. Had they focused too much on trying to forge an army of angel-like knights in shiny armour then the war effort would have been hindered, and had they failed while trying hard to root out the crimes then they would have lost face, also hindering the war effort in the end. Maybe they'd get a few criminals locked up, but at the expense of giving the Germans better odds of winning. None of the 2 outcomes are optimal, but the only one who could give us a perfect world is an omnipotent god, and if there is such a thing it has obviously chosen not to.
And as for JOG's post, I agree there are a few similarities in terms of the rebellion itself, but not enough to call the Stormcloaks Nazis. There are some pretty big differences, just like how the Stormcloaks are feudal in nature, while the Nazis were populist for instance. Nationalistic tendencies =/= Nazism.