Planing more is like "fixing" a chair by sawing off a bit from the longest leg. You'll just make the problem worse in more areas.

Like Rob said, open up the wires near the area and let the amterial spring back into the proper position. If you have planed off 1/16th too much from EACH panel your combined error is going to be 1/8th of an inch. If you were more aggressive in your planing, then that gap will be bigger.

You may want to cut a long, narrow strip of plywood from some scrap and fit that into the gap along with your thickened epoxy. Make the middle of this patch a bit wider than the width of your gap, and taper the ends to points. You amy want to also taper the thickness of this strip so the inside edge is much narrower than what you will see from the outside. Then it drops into the gap like a tapered cork going into a wine bottle.

The patch (or plug) will be too narrow and thin to dril any holes in for holding it in place, but dont; worry about that. You can use wires in the existing holes to hold this into place until the glue hardens. Don't worry if the patch hangs out a bit tooo much. When everything has hardened and you go back and sand the area you may cut through a few layers of veneer on that scrap, but the color changes can be very interesting. Tell people it is a decorative keel reinforcement and they will think you are ever so clever.

PGJ