I had the exact same problem (left side also) but my indicator in the dash was rapidly flashing (usually indicating a bulb is burned out). Bulbs and fuses were never blown. I pulled out the bulb just to switch it for a new for the hell of it and noticed the copper contacts in the socket were discolored. I tried cleaning and sanding the contacts but couldn't get in there very well. Ended up pulling a socket out of another KJ and it fixed the problem for good. I couldn't find anyone that sells new sockets except the dealership, so not sure what a new one would cost.
If you're blowing bulbs and fuses, or the indicator on the dash isn't flashing I'd think you have a different problem, like a switch or relay...