Umm.... from what I can tell. Those scratches are there to stay. They're not coming out. Something to do with the coatings the place onto the glass. Buffing would happily remove them making the problem worse.
Someone here even went so far as to try brasso with dissappointing results.

If this intended for an arcade cabinet, I think once you place the tinted plexi over the glass, the problem is going to be moot.
If you're really jonesing to get those scratches out, then I recommend waiting until garbage day and driving around your neighborhood until you find a dead TV. Try whatever technique you're going to want to try on that first and see if it works to your satisfaction. Don't try whatever on plain plate glass, they're treated differently with different coatings (if any at all).