Each system has it's advantages & disadvantages; turbos effectively scavenge wasted energy from the exhaust gases; but they only work once there's sufficient exhaust gas to spin them; this also sets a limit on the size of turbo you're going to be able to run.
A supercharger, on the other hand, works right from when the engine fires up & all the way through the rev range; but - as mentioned by compig - they take mechanical power to run, so they're not as efficient as a turbo.
Personally, if I were looking at forced induction, I'd put the supercharger on my car, and the turbo on the Lister.