LT1 6speed bolt on to ls1??
If you want to use the LT1 style clutch and you're REALLY lucky, the LT1 flywheel will bolt up to the LS1 - I don't know if it wll or not. If it does, you can use all the LT1 parts - flywheel, pull style pressure plate, bellhousing and clutch linkage.
If you want to use an LS1 clutch (which I'd recommend), you'll want to use an LS1 bellhousing or SFI equivalent. If it's a 2.66 first gear T56 you can swap input shafts (be sure to shim it correctly) to get a correct length for the LS1 bellhousing. You may still have an issue with the clutch linkage. If you're lucky again, the LS1 style concentric hydraulic throwout bearing may bolt up in place of the LT1 "bearing retainer." If you're not lucky, you'll need to get an aftermarket hydraulic throwout bearing.


