Wow...I had pretty much written off doing a lift in my garage until seeing this post. My garage seems almost identical in terms of height to yours, with the vaulted roof on the same side of your NSX lift.
At roughly what angle does your roof line vault? How far above your 8 foot ceiling did you go to give room for the roof of the NSX...and how far from the wall? How high can you raise the NSX (i.e. what's the tallest car you could possibly park underneath it). How wide is the lift? Is there a way to stop the lift from going too high?
I still have a feeling my garage is too small to make something like this work, but it does give me hope. And I just realized that the garage door opener is directly above my NSX (we had to put it off to one side to make room for ladder/door access to the attic space above the garage). Hmmmm...wish I had seen this BEFORE we remodeled our garage.