Hi Shaun,
I would do the following:
1. Cut through accessible part of hings with heated number 11 knife blade to separate wing from control surface
2. Get a piece of brass tube bigger than the hinge thickness and sharpen the end inner edge with a sharp blade and also cut some serrations in it with a dremel
3. Stick that sharpened tube in a drill and drill around the hinge
4. Grab the protruding hinge and pull out the "core" that you just drilled
5. Glue in balsa dowel, redrill hinge holes and soak the remaining balsa dowel with pink zap to harden it (it will wick down the longitudinal grain of the wood really well)
6. Glue in hinges
Have never tried the soldering iron trick but sounds like a good idea. I prefer the pleasant aroma of zap and kicker over burning plastic though!
Regards,
Craig.