XKs Unlimited are in San Luis Obispo…pretty far from LA, and very far from San Diego.
I would also be pretty surprised if XKs have their own machine shop. Setting up a machine shop is a MASSIVE investment that require significant throughput to be profitable. Chances are, they have a local shop that they trust, and refer to them as “our machine shop”, which sort of gives the impression they’re doing it in-house. Even APT in Riverside (a well known Brit street/race engine shop for decades) farm out virtually all of their machine work.
And for the OP…’machine shop’ and ‘deadline’ aren’t often used in the same sentence with positive results.