The LT1 T56 will bolt right up to your 400, but you'd have to get the Lt1 style flywheel, and clutch stuff, which might be hard to find for the ext ballanced engine...
The LS1 T56 will not bolt right up... There are lots of places out there that make bellhousings and stuff... ATS makes an adapter plate also so you don't have to change your bellhousing at all...
AMS makes a flywheel that can be run as internally, or externally balanced (with the weights they supply). You can run it with the LS1 trans, but not the LT1. In fact I bought one from them that is supposed to be for T56 swaps, than can be internally or externally balanced, but now I don't need it as I'm going Gen III... When I asked them what was so special about it making it a "T56 swap" flywheel they told me it was thicker... I don't know if its thicker to make up the space of the adapter plate or what, but I dont have a stock flywheel to compare it with either...