Welcome to the forum...The AC is not controlled by the CTM, neither is the fuel gauge. If it were my truck I would start by load testing the battery, cleaning the battery cables and terminals and checking/cleaning all ground connections. If you have low voltage problems or battery problems with the truck it can cause all kinds of odd problems. Dakota's are very sensitive to bad batteries, if it gets below 12.5 volts the truck starts having problems. A bad battery can surely cause problems with the CTM, but I do not think the CTM is the main cause of the problems you described.
Also check your alternator. You should have at least 12.6 volts at the battery with the truck not running, and 13.5 to 14.5 volts on the battery with the engine running at idle and no electrical accessories turned on. Then turn on the AC, fan speed on high and turn on the high beam headlights and the voltage should still be at least 13.5 volts at the battery. If you have more than a one volt drop when you turn on the heavy electrical loads like the lights and AC, you should have the alternator tested. Best way to do that is remove it and take it to an auto parts store, they will check it for free. If one store says it is OK, take it to a different store for a second test, just to be sure.
Last edited by 01SilverCC; 12-18-2012 at 08:20 AM.