Good topic.
Watched a truck driver polish TWELVE Alcoa wheels to mirror finish at a lay-over. Six one afternoon, then the other six next morning before he got back on the road. Asked to see what he was using:
'Heavy Metal' Medium Metal Polish. Was impressed with result, even though his wheels weren't bad to begin with. He said product leaves good polish finish, and no ammonia or other etching products.
OK, dealer not far away so picked up the 16oz (could have used just 8oz for the four wheels), cotton t-shirt rags and towels to buff after polish hazed.
Here's the first wheel: top (easy part) has been done, still have the bottom to do...

All four wheels took about an hour+ each. Mostly oxidation over 10+ years. Did use some bug&tar & scotchbrite in holes to remove most of the tar - be careful of scratching wheel surface with scotchbrite, although Heavy Metal will remove scratches with some additional elbow-grease.
Hope you can see the difference. Now wheels match the stainless steel rocker panels and exhaust tip. Will use on brass front door grab handles next to remove oxidation and put the original shine back on.