If you could find a way to glue on an 8-inch or so overlay, it would stiffen the recurve some, but that may still not solve the lateral problem. If your tip is pulling to one side now, that means the string nocks aren't centered on the limb perfectly, or you took too much wood off one side of the limb vis-a-vis the centerline of the bow/limb. Or both. The only way to bring it back is to take some wood off the other side, or file that string nock in a little more. However, since the limb tips/recurves are apparently already taken down too much, taking more off one side of the limb will likely throw the tiller off, if it's not already.
If the recurved part of the limb are very long, you might consider shortening the limbs by an inch or so. Would get a little of the weight back and give you a little more material to work with. Good luck.