It would require a custom set of headers pointing forward, plus the plumbing for the turbo. It would also require some sort of fuel and timing management. And truthfully, the 3.8 is not the strongest motor out there. There is a guy selling a 4.2 motor out of a truck which would be a better bet since the later model truck motors have much better head sealing (the 3.8's are known for their crappy head gasket design).
All in all, I'd say your better off buying a GT or swapping a V8 motor into that car if you have to keep it.