03 Intrepid R/T heater control question

Alright hopefully somebody can help out with this one I'm get a bit more than frustrated trying to figure out the solution.

I have a 03 Intrepid R/T with the digital auto climate controls and a new car starter. They work fine by themselves but if the ignition is left off for more than around 4 hours the controls seem to revert back to a neutral setting by that I mean the fan is on the lowest setting and the temp is 20 degrees . Does anyone know if there is a problem with the way the car starter is wired into the car or is there a problem with the controls themselves because it defeats the purpose of a car starter if the leather seats are still 40 below when you get in in the winter.

I am hoping some one has had this problem before and has a solution, but at this point any ideas will help.
Author: dhf766