Man that's a tough one! Yes there is a dead short or very heavy draw on the right side blinker that is swinging the needle to discharge when it clicks & likely a seperate open. I hate to recommend a new TS harness assy. I think I would seperate the TS harness pull apart connector again & with some jumpers & write down the schematic from www.mymopar.com & feed 12V in seperately to the right side to pin it down. Not much help & I am just thinking out loud. I would search downstream from the right flasher for the ground. EDIT you might take out the TS harness completely (at least seperate the mechanism under the steering wheel from ground) then plug it in & if that changes anything