Tranny installation problem!
You're in luck, since it's an LT1 version of the T56. Here's the trick:
NOTE: never, ever try this on an LS1 T56. Won't work. The LT1 clutch is a pull-type, unlike the LS1 version.
If you're 100% sure that the clutch is properly aligned w/ the pilot bearing, just slide the trans on as far as you can get it. You're down to the last 1/4" so you're in great shape.
You then click the fork back into the detent, so it will pivot properly. Ensure the fork is in place on the pressure plate throwout bearing.
Install the slave cyl, ensuring the pushrod is seated in the fork's cup.
Have a friend **GENTLY** depress the clutch pedal, while you're under the car with a few trans bolts ready to install. The clutch hydraulics will pull the trans right into place.
It's sometimes possible to do this solo without a helper, but I don't prefer that route.

