When I bought new wheels for my 65 Mustang to replace my unilug wheels, they came with centering rings. This assured the wheels fit tight against the hub. Since replacing the wheels I have had no shimmy at all. Maybe years ago these wheels had centering rings as well. I have no idea when these wheels were added to the car.
I will get through this without replacing the wheels.
Dena & Dennis Gorder
Registry # 3422