Thank you!!! I will give this a shot.Glass is an incredibly hard material and generally takes a more aggressive approach when it comes to correcting defects. A fine polish wont even touch something like that, as you discovered.
I would be attacking it with some CarPro CeriGlass, ideally with a Rayon glass pad on a machine. If you don't have a machine, CarPro sell CeriGlass in kit form that includes a hand polishing pad. These pads are much, much thinner than regular polishing pads and are designed to offer more aggression and lower heat generation.
Make sure you have a look at some video's before you get started. With a machine, make sure you don't focus on one spot for too long to prevent heat build up, although if done by hand it's pretty safe.
In this video, they do mention CeriGlass being very aggressive, especially on more modern glass. However, you have already tried something mild, my guess is you need the aggression. If you are left with some hazing, finish off with you light polish compound.
I hope all that wasn't too technical, it sounds more daunting than it actually is.