Quite to the contrary, the back seat looks rather good nestled right in there, plus Tech won't give you a note about a firewall.
It also doesn't scream out RACE setup within. Keep it low and bold.
Oh yeah, you'd be surprised at how much undercoating can be undermining a cars performance weight wise and not to mention the real hidden treasure from its removal, a slippery and slick aerodynamic under belly under speed. Sure it may invite more drive line noise into the cockpit, but who gives a hoot, it's New York baby and it's a Hot Rod, they both make noise. LOL.

Was at Joe The Accurate welder this morning along with Special K and the Palm Reader. You know that we were all up to no good being there. LOL.
Man, talking about underbellies, Palm Readers 68' is super clean beyond even the factories taking, but Shakerjoe's Cuda takes the cake. Just saw this Sassy Green gem this morning and the chassis is super factory correct slick and free of the gummy tarmac stuff.