Well, an air-driven tool will use a heck of a lot more energy than an electric drive tool - about 10 times more, in fact. (You could look it up!)
And a decent compressor that will hold up and not drive you batty with the noise will run $250 to $300 at least. Plus hose and fittings and all the other air tools you'll buy since you already have the compressor. Including tools that you will never use, but you absolutely need them because they are sooo cool!
(Ask me how I know this.
Me, I went with the Harbor Freight polisher and the SS. 80 percent of the shine with 20 percent of the effort.