They do have a "clear" on them but it's different than paint clear. Have you considered getting a mother's powerball for this job?

 

As stated above. It is a unique clear coat process. I have had no luck finding anyone who can refinish mine to factory specs

 

There are few places that can fix polished aluminum wheels. Mostly because in order to fill imperfections they use weld, that's impossible to polish without being visible. I have seen people fix minor imperfections on a wheel lathe. That said if they're that far gone it's cheaper and easier to have them refinished in black or an alloy color. There is a place by me that claims to be able to refinish polished but I have yet to see any they've done.

 

I've used the Mother's ball (isn't that an oxymoron?) on a different car and had great results. I'd do that before an orbital.

 

This GM coating is pretty tough and won't yield any tangible results even using a wool pad and aggressive compounds. There are some professional detailers here that haven't had much success removing the swirls. Mine are at a point where I'm thinking about getting aftermarket wheels because of the general fading of the finish after 11 years.
Good luck, but take solace in the fact that the body paint can be redeemed better than it was when new.

 

On my 2011 sedan it appears to have chromed aluminum wheels.
I'm 99% sure.

+

 

Not chrome. Polished aluminum

 

It’s a way more expensive option but there is a company called The Wheel Exchange that will PVD coat them for $1k. Look them up on eBay. You’ll also save yourself $300 off the shipping if you’re within driving distance.