We have the same ram.
Your cpu is better then my Q6600.
My video card (HD 4870 X2) is a bit better and monitor (2560x1600) is a bit larger.
Your SSD will be a lot better then my 10,000rpm raptor.

I run 5 client's on my system and am smooth every where.
Since I SymLinked my system, Shatt has been a lot smoother too. A SSD will be better then a 10k rpm in that regard too.

I'd turn the graphics down as far as you can in each of the background applications.
Reduce the fps to 8 or 10 for those clients when they're in the background.
Go with the lowest settings that you can stand on the main window. Lower settings are less of a challenge on your system.

I would think the game will run better on your rig then mine.
I found with 5 clients at once, and settings high for the main window and low for the other clients, I'd sometimes have one smaller window freeze when taking a FP or flying multiple epic flyer mounts. Since turning the eye-candy down on the main window too, this problem has disappeared.