Due to the Decree of Monument the Nords do not govern the Dunmer of Skyrim and therefore cannot help their situation, that is why Brunwulf can't do anything as Jarl.
Argonians aren't allowed in into WIndhelm due to the animosity between the Dunmer and the Argonians.
Khajiit aren't allowed into any Nord cities (Imperial or Stormcloak).
The Stormcloaks do have healers (I think the Snowshod's in Riften had a daughter who was a Stormcloak Healer but died)
IIRC some stormcloak soldiers use ice magic.
The Nords gave the Dunmer the Snow Quarter but the Dunmer by seperating themselves from the Nords created the Ghetto of the Gray Quarter and then blamed the Nords on it.
If the Dunmer did help the Stormcloaks then they would have gained the Nords' respect a long time ago but they don't have to, it would just help.
General Tullius is no better than Ulfric when it comes to foreign culture. The amount of times he slanders Nord tradition is obscene.
The Nords are renowned for being drunken louts so some Stormcloaks soldiers are of course going to get drunk and be racist, I'm not condoning that but it's some not all. There are probably drunken Nords in the Imperial army...
The Gray-Manes beat the Battle-Born's every time.
The Dunmer as a race have always been arrogant [censored], it's nice to see them have a taste of their own medicine and to be honest their lucky the Nords didn't enslave them.
