Shimming the wing sounds crazy.

What did you glue the stab in with, epoxy? If so, there is a chance to remove it. You'll need another person to help, and a heat gun. Heat the glue joint up good and have the other person pull on the stab to get it out. (You may need to cut the elevator and hinges out). The epoxy will soften when heated, to a point that it is rubbery. That's when you can yank it out. But once heated, the epoxy will continue to react so you need to be quick and get it out the first time.

Then you can get to fixing the stab correctly.