I did similar on my SV650.
I highly recommend buying a spare harness so you can lay it out on the floor. Mark each connector function, and then start marking the wires you want to remove. (and what connector they go to!)
Rather than cutting the harness, de-pin the connector! Then if you need to, you can add the wire back in. If you can't de-pin the connector, then make sure you leave enough of a pigtail that you can solder your connection back in.