Superdawg, how do you think shackle reversal might affect flat towing?

I have a Tomken Machine tow bar that fastens to their front shackles on my CJ7 that have an extra set of holes on the front. When I used to flat tow it with my heavy Dodge Cummins truck, I could notice it getting a little squirrely over 60 mph. Now that I'm towing with my Trailblazer, I notice that it gets really squirrely over 45 mph. So now I tow strictly with the car hauler trailer.

Do you think that a shackle reversal setup on the front of my CJ7 would stop the weaving when flat towing? BTW, the Trailblazer tows the loaded trailer beautifully.

1977 CJ-7, fiberglass body, AMC 360 w/ headers, DUI ignition, Edelbrock intake and Holley 4150 carb, TF999, Dana 300, 4.56 gears lockers, York air comp, 4" susp lift, 2" body lift, BFG 35" M-T tires, Megashifter, AGR pump & box, REP8000 winch.