Tend to agree about the micro fiber cloths, I was given one a while ago and use it for some things, but not polishing the guitar. So I use a bunch of old style lint free cloths, each guitar has it's own, and I use a couple of others dedicated to fingerboard cleaning/oiling. So I bought some Gibson polish recently (a bucket/tin with polish, metal cleaner and FB oil and 3 (old style) cloths. I tried the polish on my Anderson, isn't as good as lemon oil IMO.
The thing with polishing is that most are a very fine cutting compounds and the particles break down and get finer the more you work them (getting a good glassy finish takes elbow grease) so they take out their own scratches which get finer and finer the more you work it. Mistake is to keep reapplying the polish (backwards step). Brasso works very well as long as you keep working the same application, then buff with a wool buffing wheel in your drill (wipe ALL brasso off first and careful/slowly/gently), this then heats/melts the lacquer taking out the last of the brasso scratches (this is with Nitrocellulose BTW and after spraying the guitar then sanding with 1200 wet/dry using soap and water). Most guitar polishes are designed for after this step just to keep it nice and shiny and why I find lemon oil works well, doesn't polish, just cleans.