No, you do not want to lift the spine, if you do you will never get a consistent flat bevel and straight edge.

You have to reshape the heel bringing the corner of the heel forward as seen in the photo, I posted with the modification line, or hone heel forward to clear the stabilizer.

If you hone heel forward you can hone the edge, but it will do nothing for the forming of a sharp heel. Reshaping the heel is the only way to “fix” the problem. There are lots of post on correcting heels in the honing forum.