I had the SAME problem. Couldn't figure it out for the longest time. Originally I thought it was the AC line or perhapsd coming from the running lights no longer being sealed. Turns out it was the heater core. It was toast, pardon the pun.
When the heater core starts to go it lets coolant into the cab. Once I replaced it all is fine, no leaks, no moisture, and no haze on the inside windows as is caused by coolant.
To replace the heater core on a Dodge you have to remove the dash. Lovely, eh? Frigging pain. Thanks engineering dept at DC!