Ok, I can speak from experience on this. YES you will have to change the spring if you change the shock linkage. If you're thinking of doing this on your own, then you're seriously on crack. Changing the shock linkage will change the way the bike handles because it changes the geometry of the bike. I special ordered mine from Dan Kyle, and he copied his directly from HRC. You then have to put on a much softer spring because the geometry change makes the spring stiffer. I had 2 different springs, one for the stock linkage and one for the HRC linkage. They were VERY different. If you left the spring on that went with the stock linkage and put on the HRC link, the rear of the bike wouldn't even move it would become so stiff. Likewise, if you left the spring on that went with the HRC linkage and put the stock linkage back on, the bike felt like an old worn out cadillac rollin' over bumps.
Back to the crack part... If you don't find a linkage specifically made for racing and changing the geometry of the bike, then DON'T do it. Don't even begin to think you can make a better linkage than the factory can. Just "raising" the bike doesn't mean much if you don't know exactly what you're doing and the exact #'s you're trying to reach. If you want to add some ride height, either get a shock with ride height adjustability or if your shock allows it (most modern bikes do...don't know about the SV though) add some spacers to raise the rear. BUT DON'T MESS WITH linkages unless you know what you're doing.
I'd suggest going over to the WERA board and asking them. The SV is a VERY popular race bike and I'd say that someone out there might make a linkage for them. Heck, just ask Huey130 here, he builds SV's for pro race teams.