Oh Well, since no one responded, let me try. I've drag raced for over 10 years with modified Dusters and home built tube Chassis-panel Arrows and Daytonas. Almost everything jumps to the right side at first till you get it dialed in. First of all, have the front end alignment checked. A good shop doesn't just check for toe, caster and camber. They have to check for bump-steer. Good racks i've seen push the front end up to simulate acceleration lift. The tires have to stay pointed in the right direction. Next is suspension. If the frame is SOLID and not twisting due to rust, broken welds,etc. Look for funny bends on the frame, under the carpet, on the quarter panels. Loading of the rear springs can also cause this. Are the leaf springs on the correct side? Check the numbers if any, Even #s are always on the Passenger side. I bought a duster that had superstocks on the wrong side and when it launched, I had to pull the wheel to the left to keep it straight. Have the Springs been off? Are the torsion bars loaded equally? If the frame is good, suspension adjustments can fix this. With my race car,I would have to preload my right rear bar to give it more lift. You might have to temporarily put on a set of air shocks with individual pressures to add more to one side.
Hope these tips help. Nothing beats a great Mopar Screaming Launch, when you're showing off your mighty MOPAR!
Rob
Edit: I just remembered. Has the car ever been wrecked? I know a guy that might put 2 cars together (front half-rear half) to build one car and you can't see the seams. The frame has to be square. The only true way to tell is to carefully measure common points from corner to corner and compare the sides. It that's too difficult, a good body shop with a modern rack can give you a print out of your frame alignment for about $100.