So I got around to doing some testing on Shaman and Monk over the weekend. My biggest take away was that Enhanced, who wears mail armor, feels far more squishier than WW, who has leather armor. Being able to Karma and not run away from an AE , or any damage, was also pretty nice. I know enhanced has a 40% reduction but it just wasn't the same. Other than that, the over all in combat feel was similar.
As TJT said a few days ago, Mistweaver seems to take a little more effort to heal well vs Resto Shaman. I don't know if that is a good or bad thing at this point but just an observation. With the right talents Mistweaver can be a ton more mobile. Both offer AE stuns for 5 mans as a side note.
Other utility of notes:
Shamans have Bloodlust
Shamans have ghost wolf and with the right follower is 100% move speed
I am having a hard time coming up with any utilities that Monk has over the Shaman.
10% AE movement buff as noted by Kuro