Refinishing Weihrauch synthetic stock?

A friend of mine is in the automotive industry and deals with plastic-polyurethane parts. he does plastic welding and repairs plastic - synthetic materials. He uses a heat gun and an hand anvil to smooth out scratches and gouges in plastic. It also helps with discolored or faded stuff . I don't know about your stock material, but It might help.
 
You could paint it or apply a wrap.

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