Did I understand this correctly? You sewed the foled edge of the binding strip to the raw edge of the quilt? Just had the binding turned backwards than what you wanted?
If I am not mistaken, you should have enough binding to still fold over to the back, fold under the raw edges, and sew. If you do double bindings, the fold was the center that usually goes to the backside for stitching. It may not be as big of an edge, and you may need to trim the quilt edge down to like 1/8 inch, but give this a try before you rip out everything. At least I would try. "Jack" may be my 11th finger, but I try to let him rest as much as possible.