Unless you or an expert scraper, I don't think I would sharpen any knife to a razor edge for coon.
A coon scraping knife has one area that is fairly sharp and the rest of the knife is fairly dull.
you must take off all the membrane and gristle off of the coonhide.
You should actually start scraping your coon on the side of the coon up by the ears. When you do this , you will be scraping some of the belly and some of the back at the same time. The reason you are seeing hairs pull through the hide is because you are scraping over the same spot to many times.
you want to make your first cuts get below the gristle and fat , down to the leather.
Once you have got to that point just keep the fat and gristle running down the hide in a straight line. If you keep comming back over the same spots you thin and stretch the leather and cause the hair roots to come through.
Once you have that run of gristle off the hide , you then bring your knife up to the head area again and start your next cut right next to the cut you just made.
Do both sides of the coon then do the strip that is left on the belly and then do the strip that is left on the back last.
If you have to you can take a sharp knife and kinda score the area you want to start at. When you do this , just cut deep enough to see the leather then do not cut any deeper withe your knife. Once you have a slice made it is a lot easier for a beginner to start the scraping process.
Also once you have gotten to the leather, make sure you do not keep running your scraping knife over and over the same piece of clean leather. This will cause a coon to have hair on both sides of the pelt. I call these reversable coons.