Toe-in changes when front end lifts at track

Are you running some type of limited slip or a spool? When I used to drag race my car would pull to the left like that with the sure grip. Once I put a spool in it, it went straight.
489 case 8-3/4 with a spool. 4.10 gear. Swapping slicks side to side also made no difference as the car tends to leave initially straight.