Why not just go with a fork and shock upgrade on your SV? GSXR fork (so I hear) is a HUGE improvement, and a ZX-14 (?) rear shock improves the back end.
Also, you can stay with the SV naked bars/risers and still add the fairing.
Ask these kinds of questions on the SVRider.com board and see what they have to say about these upgrades.
I’ve read some reviews on the FZ6, and while the engine was derived from the R6, it’s been seriously retuned for more power down low. I’d say if you really want to consider that bike, take one for a test ride.