Hello
There are several things that come to mind, but do to the complexity of this system and the amount of control modules in the circuit I hesitate to have you replace any thing with out a proper diagnostic, the most comon are the wiper motor or the wiring at the steering column
You will need a dealer level scan tool to properly diagnose this concern, you need a scan tool that can communicate with the "CAN C" and "CAN B" Bus systems on your car to pull the codes and see if it is under the hood or in the passenger compartment
The most comon issue is a loss of communication with the Steering Column Control Module, if this module drops off the bus, the wipers are set to come on for safety
Here is a quick over view of what is in the system, if you can get the codes and scan tool I can help you with the diagnostics
The wiper and washer system includes the following major components:
I hope that this helps you
Thank you
Donny
Shop Foreman
A.S.E. Certified A1-A8,L1,X1,T1,T2 Over 25 years Experience with Chrysler - Dodge - Jeep