I would have used good old Elmer's glue. I was finishing a rifle and the forend cracked right in the center of the end then run about 9" inches down the stock before breaking out, leaving just a sliver holding it on. I immediately stopped what I was doing and grabbed my Elmer's. I was able to get full coverage on the broken areas, then pinned the front of the stock and applied a clamp to the whole break. After it dried the crack was a thin white line. After staining, the line is still there but no longer white and even I have to seach for it.
Will the old fashioned wood glue hold? Well that's been over 10 years ago, the rifle is my main shooter for small game and practice, and if I've done a lot of shooting I remove the barrel for cleaning. So I'd say yes, the old stuff still works.