I polished the shooter knob on my Williams Liberty Bell and it looks pretty darn good unless you shine hard light at it. Then it looks cloudy with small swirl scratches.
I used a 7" polisher/sander and started with blue polishing pad and green stick from Harbor Freight. Worked it down till it was shiny and, then, applied a paste wax with the black finishing pad. Did I miss a step?
I'm not complaining. It does look really good. Better than what the photo shows but was just curious if I can get those swirls out.