I have a ton of experience with polishing metal, aluminum specifically, I ran my own polishing business for years. Here are so pointers to polishing aluminum:
1: Don't do it, be happy with what you have.
2: Every scratch in the metal has to come out, whether you put it in there or not. To remove finish, most people, myself included sand with sand paper, that scratches the metal, you have to remove those scratches otherwise see Tip number 1. I prefer to start with like a 120 grit paper of anodized surfaces, sand through the anodizing then switch to a 240 grit, change the direction that I sand in and remove all of the marks that I made with the 120 grit. Once I have removed all the 120 marks with the 240 change to 360 grit and change directions again, then remove all the 240 marks, if any of the 120 are still visible you have to go back to the 240 grit until they are not. Sand until all the 240 marks are gone then switch to 400-500 grit paper, change directions once again and remove all the 360 marks. again, if all this sounds like too much work refer to tip # 1.
3: Use a bench mounted power buffer, basically a bench grinder with a buffing wheel at this point and begin the cutting process. I use the sisal buff with a cutting compound to remove the sanding marks from the sandpaper, then wash the parts in hot soapy water and let dry, before switching to the next wheel and polishing compound. I finish up with a soft flannel buff and jewelers rouge After you get the finish that you want, forget all about any of the polishing compounds that you have always heard about, they only scratch your finish, simply apply with a clean soft cotton cloth a coat of paste wax and that will protect the finish for years. Do not under any circumstances ever clear it, you'll have to start all over if you do.
I have a 2002 Yamaha Roadstar Warrior motorcycle that I polished all the aluminum on, except the frame, I did the wheels, engine covers, swingarm, forks, Triple trees, fender stays, brake calibers, front and rear, hand and foot levers, disk brakes. Basically everything. The bike currently sits in the weather outside and hasn't even been washed in about 3 years, its a shame but I can't ride it and won't sell it. The polished stuff still looks great, no it doesn't look as good as it did the day that I did it but it still looks better than you would think.
The only chrome in the pictures is the exhaust, blinkers and handlebars, the rest is polished aluminum, done by yours truly. I need to get some recent pictures of the bike just to show how well the aluminum has held up but it still looks great.
CAD