Originally Posted by
ghostrider
It'd be very easy to blind stitch all the open seams and you wouldn't have to take anything apart in order to do it. It's just like hand stitching the binding on a quilt. Easy, relaxing, and no "tearing apart".
I would take this route, too. And then I would quilt the heck out of the whole thing to get the stress off of the seams and keep them from popping any more.
This will help preserve this keepsake that you treasure.
For the OP: Go ahead and use your beautiful threads! You aren't breaking any rules and you're not going to hurt your quilt at all by using polyester thread.