I wouldn't do it on a tablesaw. A properly setup bandsaw is the ticket. I've cut a bunch of backing strips, and lams for glass bows, trilams, you name it. I use a 14" Craftsman bandsaw. The bandsaw guide is a Carter bearing setup, and I use a Kreg precision fence with a resaw attachment. That stuff is relatively inexpensive and worth the cost if your going to make more than a bow or two. I can slice lams off rather nicely with it.
BUT, not a single piece of wood comes off of the bandsaw ready to glue up, in my opinion. It's just not accurate enough, and neither a tablesaw or bandsaw blade leaves an appropriate gluing surface. It all goes to the thickness sander from there, which removes all saw marks, levels it, trues it up across its width, consistent thickness all over, tapers it if need be, and leaves a perfect gluing surface.