That's it Volty, the TL1000 has probably the best big V Twin engine in the world, so good that an italian manufacturer, Aprilia, uses them in their beautiful "V Raptor" bikes, but the rear suspension was a failure that caused Suzuki to drop the model completely and build a whole new bike.
They employed a rotary damper and a seperate spring, and even though i believe the setup was ok for general road riding, the "go fast" boys were appalled by the poor handling on the track, which was pretty much un-fixable, without major surgery. Pity though, I thought the TL1000R was one of the sexiest looking (and sounding) bikes that ever came out of Japan.
If Bluey is still keen on a trick rear end, have a look at a Kawasaki ZXR or Yamaha XJR rear end, they're still twin shock, so probably a much easier mod, once you work out how to space out your rear sprocket to give you some chain clearance past those fat 17 inch tires. Cheers, Terry.