So I accidently scuffed my side view mirror by hitting a garbage bin. I quickly went to YouTube and saw that acetone removed scuff. While it did remove most of it, I'm guessing I got some acetone on the plastic housing set/base, which looks to be plastic. Now I'm left with some swirl/haze of sorts and wonder if this can be fixed with some type of product? Other option would be to buy a new housing set, but not sure if this is an easy replacement.
Advice and opinions are greatly appreciated. Also if I posted this in the wrong place, please let me know. Sorry in advance.

 

To me, the surface looks scratched (not softened by the acetone).
I think some kind of polishing compound would help, but I'm going to move this over to the Appearance section in case someone over there has a better idea.