Which procedure would be best for correcting my asymmetrical jaw? (photos)

I've always had a "good" and "bad" side. My right is very small, not much of an angle, and made both my nose look bigger and my mouth more off-center. My left side is sharp and defined, but I think a little too big. This recent x-ray confirmed my suspicions. I came in because this surgeon said he does jaw shaving, which I thought was all I needed, but he actually suggested DJS. What do you think? No breathing problems, but I grind my teeth at night.