common issue with wj you need to pull the dash and replace the recirc and blend doors most likely broken doors should also do the actuators at the same time
try checking behind the fuse block under the dash for wires melted together. or on the main harness coming in thru the firewall for excessive corrosion. have never seen this issue but have seen melted wires on back of fuse panel cause other ti=hings to stay on. and jeep has had issues with the...