Just wanted to say --- the "LS motor doesn't belong in a '32 Ford" statement is pretty tongue in cheek....
They're the killer motor! But I agree that it would need to have the coils hidden - and the right valve covers and ditch the plastic intake etc.
I have the "spider" intake for my LS6 -- (which is actually for a carb) -- and it would easily take the EZ EFI throttle body... and would look kool.
You will have some "work" to do trying to figure out the accessory drive!
Follow up with what you do! Very interested!