^^The battle footage was presumably meant to be part of the "data stream" Wes talked about that showed data from "virtually all past tactical encounters." Why it happened to be synchronized with an actual Klingon attack supposedly happening outside the ship is a matter of poetic license.
But no way am I believing that Titan's warp core looks exactly like the Enterprise-D's.
But no way am I believing that Titan's warp core looks exactly like the Enterprise-D's.

They are very close to what I've been picturing in my mind as I've been reading the whole Titan series this year. I really like the extra consoles on the ISS Titan, as well. They really beef up the upper level of the bridge.