First I'll say, that's a nice old knife you have there (1940 - '64 vintage, looks like?). I really like these old Case knives. :thumbup:
If it were me, I'd use a rubber eraser (drafting/art type) with some wet/dry sandpaper wrapped around it. Start with something like 400-600 grit. That will leave a satin finish. Take slow, deliberate passes from spine to edge, to keep the sanding scratches linear and uniform. I'd start with the smaller blade first, as the grind will make this somewhat easier I think. Should see the results quicker, on your first try at this. Take your time, don't try to rush it. It'll take a while to get all the original scratches out, but that's OK. The results will be worth it.