Washing the car with Dawn dishwashing liquid or any alkaline wash will strip the wax off. Inquire the Detailing Dude on the CAC and he can give you further specific info.
I don't like using Dawn as a wash or dewaxing. It is great for removing the oils from the wax on your car but it can also strip the oils out of your plastic trim. It is quick and easy but I would rather not sacrafice the trim to save 3 or so minutes. (Dawn even says not to use Dawn on your car.)
Plus, it messes up the sequence of events:
Wash the general dirt off the car, clay the dirt that is on top of the wax, remove the wax that is on the paint, inspect the paint.
Are ther any products locally available for de waxing the car? Wal mart etc. If so how do you use them? Is there a chance these products will damage the paint?
3M General Purpose Adhesive Cleaner. Most PepBoys, WalMart, AutoZone or Professional Bodyshop Supply Stores carry it. It has so many uses on your car so I pretty much consider it to be a necessary tool for your detailing arsenal.