I don't play wow but I imagine that they'd only want proof of purchase - not sure why they'd want to see your personal details unless they need to make sure you're over 18 or whatever.
Exact same happened to me!
Just sent in the appropriate Photo ID and they took it off within 6 hours.
I took a picture with my iPhone of my passport and drivers license next to each other and sent it in.
probably take them 2-3 days.
it took almost 2 full weeks for my account to be back in my hands