I asked a lot of people what product to use for polishing my aluminum wheels. I think I took the right path with
"Mothers Mag and Aluminum Polish" You can buy it at any of the auto parts "chain" stores.
I used a buff from Home Depot, made an arbor for it out of a 3/8" bolt, several washers and a nut and chucked it up in my 3/8" drill. I cleaned the wheel with "Simple Green" mixed half and half with water.
I dried the wheel thoroughly.
I spread a little "Mothers" on the rim. Rather like finger painting seemed to work just fine. It doesn't take much. A little "Mothers" goes a long way. I then commenced with the buff. It quickly turned black as you see in the picture. That's perfectly normal. I buffed until I JUST started to see the paste disappearing from the wheel.
Then it was time for the terrycloth towel. I polished the wheel by hand (and it only takes a minute) and was amazed at the shine. All told I have about 10 minutes in this wheel you see below.