Nicely done. I know I'd be quaking in my boots. I also like the alteration that @seanr did. Even if the client doesn't go for it, it'd make for an interesting variation to add to your portfolio. Maybe the Terran shipwrights offer it as an option for captains that tick off their crew a little too much.
Woo! I've enjoyed seeing your journey throughout this thread, @Rekkert, and I have to agree with what others have said that you have a talent for designing interiors.
Anyway, back to topic at hand, those consoles look like they are just designed to evoke a certain aesthetic without a lot of thought put into how someone's supposed to use the things. I get the client wants to evoke that shape, so not much to do except maybe shrinking it down or talking with the client about tweaks to make them more usable while trying to keep things the same.
That said, I think you could get what you are after and have things evoke the stylings of the NX-01. I tried sketching out some top-down views of the console to see if I could do anything with that shape.