Building drawers for it is defiantly doable
Another really cool thing to do would be to replace the inside (Insert) of the door with a sheet of Spanish Cedar instead of putting back the door insert. That way the inside of the door would not get in the way of the drawers and it would add major "cool factor" to the unit. Since you got it torn apart already I would consider it. Let me know the measurements and I can get you a price. If you really want to trick the thing out, send me the door, I will gut the door insulation, reline it with ridged Styrofoam and then line it with cedar and build mini trays inside the door
Chas