Dyna Glide ModelsSuper Glide, Super Glide Sport, Super Glide Custom, Dyna Glide Convertible, Super Glide T-Sport, Dyna Glide Police, Dyna Switchback, Low Rider, Street Bob, Fat Bob and Wide Glide.
I just replaced my rear tire also. checked swing arm play when the tire was off in case of need for new swing arm bearings etc. I had no play . So no its not normal.