I used a sanding bit from my Dremel and removed the old JB Weld...
...after taping the door shut and lining up where the hinge should go, I put a layer of JB Weld around he ends and top of the hinge...
While I had a batch of JB Weld mixed, I decided to place the ceramic magnets at the top and bottom of each door.
At a later time, I'll figure out how I want that magnet to latch...another magnet or a small piece of stainless steel.