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I gotta agree, I'd think the epoxy would form a thick coat on the hinge and make it very stiff.
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If you drill a 1/16" hole in the center of the hinge slot, that will help the CA wick to the back of the hinge.  Take the end of your pipette and and pull it apart with two pliers.  The part that gets drawn apart will be about twice as thin as it was originally, that will be small enough to get a few drops onto the hinge.  Once you're done, wipe down the hinge line with acetone to get rid of the white powder that forms around the hinges from the CA.
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