The Enterprise-E makes me mad in the way the refit Enterprise makes me mad. Rick Sternbach very clearly laid out deck lines when he designed the E filming model, as Andrew Probert did for the refit, but we end up with plenty of reason to think both are bigger than they were carefully planned to be.
The final "aztec" design he had in mind for NEM's finale was damned pretty. http://johneaves.files.wordpress.com/2012/07/enterprise-e_isometric_front_v01.jpg
The NIF target chamber room is just under 100m across and four stories (87m) tall. IIRC, the E-E engine room is three stories tall and quite a bit smaller (and IIRC they made it even smaller in Nemesis, owing to lack of studio space) (by the way, that one chamber is too wide and tall for a 366m Enterprise's tiny engineering hull!)
Hm, I don't think these fit together at all. The aztech paneling goes completely against the other panels. So have either or, but not both.
Well, I was mainly referring to the actual core, which is about the same height as the E-E's core but is spherical and considerably wider in diameter. OTOH, I do believe that Enterprise's entire engineering section probably bears an uncanny resemblance the NIF facility as a whole. This being a pre-intermix starship, most of the "waveguides" that connect to the core are probably plasma conduits leading to energizer arrays further forward (while the "Beer vat" room would probably fill the optics assembly room in the adjacent compartment.