You shouldn't need the complete one. The main thing the complete swap inculdes are axles, which you already have. Your stock shift linkage should work too, along with your stock mounts.
now my real question is why you would want to swap your LS for a b16. The b16 will probably be slower than the LS engine. And if your LS is blown, sounds like a good time to build an LS/VTEC.