I have the same problem.
Here is the part# from Dodge for a new harness repair kit. 5017124AB
It has everytthing you need to replace it. You will need to put it together... shrink tubes, soldering, crimping, but it will be like new. Be aware of the different sizes of the wire.
Should be between 50-55 dollars.
The problem really is that the blower motor draws a lot of current, especially in the highest position. Dodge wants you to change the motor out for a lower draw one. Dodge should have made a recall on these but they didn't.
Also on Ebay you can find these kits... some with just the harness repair and others with the harness and a new motor.