Here we have the controller installed and I'm pointing at the steel tab with a screwdriver. The AC button wiring connector is a pain to reinstall into the controller but to remove and reinstall it you need to release the plastic button on the connector and remove it from underneath. Re-installation requires you to push it up into the controller from the bottom in the reverse fashion of course.
To anyone preparing to remove this unit make sure you remove the fan speed selector switch (the big white things underneath the controller in the pictures in previous post) BEFORE you try and remove the cable that it obstructs. And when re-installing make sure you put the cable back and mount it in place before you attach the fan speed selector switch.