I expect drivers that worked well with WDP to work with the CP just as well. But if you installed your drivers in Compatibility Mode, I think you may have to do the same with CP, unless your device Manufacturer is able to release new CP friendly drivers.
There might be exceptions too, it's possible MS may release some updated drivers with its CP installation/updates. In your case, the XFS 5770 graphic card drivers available for WDP on the ATI site should almost definitively work with CP.
Irfan