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You can restore these surfaces with a heat gun. Just be careful not to melt the plastic or run the nearby paint. Pretty durable technique. Next vehicle I buy is going to have little to none of that material. https://www.youtube.com/watch?v=R9tDq1oRy9U
How about mixing a quantity of JB Weld and imbed some of the fiberglass mesh that's used in drywall joints. Would also emphasize the "stop drill" technique mentioned by others. Be sure to clean and rough up the plastic so the JB can key into it.
How about using some fine grit alum-oxide paper to sand off the flats. Great piece of advice!!