Is the receiver/dryer cold? The silver canister on the passenger side of the firewall. If that's not cold, all hope is gone. Your compressor should not be cycling without refrigerant in it.
If the receiver is cold, then you might have failures on BOTH side's temperature actuators. Do you feel any difference in performance between left and right controls?
Next you have to take the dash apart and watch the actuators turn their shafts to see if anything's getting powered. Might be as simple as one dead fuse, but I HAVE to assume you checked those first.
