One problem related to dash wiring has been reported for the 2001 Dodge RAM. The most recently reported issues are listed below.
When heater is on dashboard would become very hot. Took vehicle to dealership, and was informed by mechanic that problem was with radio, which was defective. It was replaced. Dashboard problem reappeared again. Kept taking vehicle back to dealership for dashboard problem, and again radio was replaced. Nothing else was checked for cause of overheating dashboard.