Great thread, only because my buddy's 06 Crossfire is doing the same exact thing plus when using the brake all the lights will go out. I unplugged the brake switch at the handlebar and it seemed fine the last ride of the season last year. Makes me wonder if the short is in the taillight harness somewhere.
With that being said the sled was parked and I have not had a chance to check all the wiring, should be able to do it in the next few weekends when back up to the cabin. Will post on here if I find something.