Success!

Once again, neighbor Rick came to the rescue with cold beer and we figured out a solution to the split/disconnected chine log.
I went down to Home Despot and picked up some 1x2 and we ran a strip down the inside (on the inboard side) of each chine/hull interface so the hull panel is now sandwiched between the chine log on the exterior and the new 1x2 on the interior. We used screws and adhesive and it worked beautifully. It even looks stout enough that I could think about adding a set of oar locks to really get the Peace Canoe moving in the water. And it adds a nice place to be able grab the boat and move it around.