In that case, I'd say definitely work at it a bit. The grind may be especially steep and you may need to thin it down to a decent taper. You're probably not even touching the true edge right now. If it Rockwells up around RC60, it will take some serious sweat. Don't give up on the coarser grit until you get a nice edge. Then you can re-polish it by hand with some wet/dry paper on a hard backing. Depending on how deep the sharpening scratches are, you could start all the way down around 220 grit and work your way up to 1000 or 2000 grit.
By the way, gonna post a pic?