Scratch Removal for OEM Lexan Windscreen

[RaisedOnPorsches]

Hey folks,

I've somehow managed to scratch my clear plastic (lexan) OEM windscreen that sits between the humps of the roll bar. Every time I look in the rear-view mirror I see the darn scratch and it is slowly driving me nuts.

Does anyone have recommendations on how to remove this scratch from the plastic?

I realize its not at all the same as filling in a scratch or chip in a glass windshield. I really don't want to replace this piece all together due to a minor cosmetic issue, but it is cosmetic issue that I am reminded every time I get in the car.

Thanks,
-J

P.S. I realized I posted this in DIY when I intended it for General. I cannot seem to move/delete the thread. If the mods would be so kind to shift it over, I'd appreciate it.