I've been having similar problems, but with a Dell 30" LCD and Mac Pro. Well, lately the LCD would shutdown occasionally (did this a.m. while working using it) in addition to the waking from sleep problem. Dell is sending me a new monitor and we'll see how that goes. However, while talking on the phone the tech asked me if I had the LCD plugged directly into the wall or in a powerstrip/surge. He said it may not be getting enough power.
Well, after, finally, getting off the phone with them I plugged the LCD into a separate line and haven't had a problem yet, although it's only been a few hours. I'm starting to think, maybe it was a lack of power, time will tell.