This would be the glue i would use myself, in fact i'm procrastinating on a piece right now that i hate to mess up on and already broke in three different places. Hopefully i'll have these places back in place and glued on where it won't be noticeable. I'll put up the pics later on, and show.
That purple heart looks like it would be like cedar, where you have to be careful of your cuttings and vibration so that it dosen't break along the grain.