1969 Dart Street/Strip (Re)Build

I can't seem to get ahead. I had a friend over and we were looking at the rear tires running on jack stands. There was an obvious wobbling issue as can seen in the video. It appeared that the wheel is not centered on the axle. You can barely see the center opening around the axle also has the off center wobble. So he asks if the lug nuts are tight on the shanks? I check and no they aren't. They are tight on my weld wheels and the wheels turn true. But the street wheels have a bad wobble and the shanks are loose. I call Billet Specialties and they claim to have never heard of this problem before. So now I'm understanding some of the shaking and grab-slip-grab-slip-grab-slip problems I've felt launching at the track with the radials. So BS didn't have an answer for me and I'm on my own now to figure this out. I'm going to try and find a thicker set of mag nuts first.