Clutches on right hand turns, not left.

With ZERO real information about your car, my best guess would be to have a friend standing on the right side (out by said corner) as you hammer the corner and have him tell you if the rear wheel is comming up off the ground and free wheeling, it is a possibility. Another possibility (much less likely as I think you would notice it in other ways) would be a bad trans mount allowing the tranny to shift around and when you make hard right it might cause the linkage to shift it into neutral, like I said just a possible guess. Why is it such a need to "burn the tires around the corner"?? Tires are expensive, so are exhibition tickets, I should know. And smoking a tire around a corner really dosn't impress anyone. Just my .02