A 400 grit sandpaper finish might get you. I like sanding everything off, but that's because I have a belt sander. Lacquer thinner and scotchbright will get you a long ways, then finish with some 220 and 400 grit sandpaper. After that, forcing a patina will certainly cover up any other imperfections for the most part.
Please keep in mind, I haven't actually tried the method listed, but this is probably how I'd try it first by hand. Don't be too afraid, if you want to get rid of the patina, just don't sand it with anything coarser than 200 grit and the scratches shouldn't be too deep to polish out easy. Coarser than 200 and you will significantly increase the time and labor involved.