The battery temp sensor is there to provide battery temp data to enable the computer to control charging at the correct rate for the battery temperature. The hotter the battery, the lower the rate must be in order to not overheat and destroy the battery (probably boiling the battery and spilling acid). With the sensor damaged or disconnected, I'd think that the battery would get overcharged, especially in a warm climate. Chrysler uses a high charging voltage compared to other makes (around 14.6 volts) and they've been using battery temp sensors since the early 1980's. I'm surprised it hasn't set a trouble code and turned on the malfunction indicator light (MIL).