Good to hear! LOL.. Okay let me now throw in my .02 worth.. when I got my car she had pretty yellow headlights.. my first rodeo with headlights too. I had some "wore out" 800 grit wet and dry from using on my Miata... and that is what I went after my headlights with, not bearing down but just light pressure and then went to polishing with car polishing compound and final buffing with car wax and they looked very respectable at that point. Previous owner was very surprised at how good they looked. Have since moved to products for headlights, but have no regrets or undesirable results from from my initial attack on them.

Edit:
Okay.. the great debate has begun.. I vote glass.. when applying headlight protectant at work.. I broke out the blue magic headlight restorer on my fog light...which not being "overly" concerned as they don't look bad..but did do a "huh"... didn't seem to polish out at all..

Edit..Edit.. Wasn't there a 12:30 am infomercial "scratch magic" or some such for filling the scratches on your glasses.. but wait order now and we'll double your shipment?

Edit..edit..edit..
After looking at your pics.. and your description of "don't feel like glass...".. I'm thinking tempered glass.. which could be thinner.. lightweight.. and expensive to replace.. like the 400 dollar price tag that comes with used ones? What do you get when you sand on glass? A highly undesirable result?