Well as someone who has worked in the automotive field for over 30 years I can tell you that your info on centering the wheel is wrong. Have you ever performed an alignment? You will find guys will find the center or high point of the steering box or rack. Then make sure the steering wheel is indexed if it can be installed in more than one position. Then the tie rods are adjusted. This of course after camber and caster are adjusted or verified to be in spec.
You can go into any shop that does alignments and that is the way it is done. I can assure you that they are not worrying if the center link is perfectly centered. The alignment is correct If the steering wheel is straight and the car goes down the road straight. But I'm sure you will have another cute response.
No, a centerlink being centered is NOT the be all and end all of and alignment. I am only saying it is ideal to have it centered and tie rod assemblies to be equal in length. This info is not needed for a good car needing a tie rod end or bushing replaced and an alignment. I'm saying for a full restoration when the entire car was apart. Equal length parts like tie rod assembles are the where you start.
If one tie rod assembly is 19" from the inner tie rod to the outer AND the other is 15" from the inner to the outer. Do not send it out the door. Look a little deeper into the reason. Maybe the frame is bent, the steering wheel in not installed correctly or as you said, the steering box was not assembled properly.
Same as rear upper control arms. Equal length is the starting point. Now if you find the tire is close to the quarter panel lip. Check the centerline of the rear. If it's also good, which is probably is. Fix the body. Do not make your upper arms a 12" on one side and 13" on the other because of a poorly hung quarter. I fully understand a few thou to correct the thrust angle but again, just voicing my opinion on moving it for the wrong reasons.
Adjusting until you have what you need is the ONLY reason I voiced in this thread. Sometimes there is a reason some wild adjustment is necessary. If a car has a 1" stack of shims on one side, and nothing on the other or you have to rat tail out a hole to make something fit. Stop and figure out why.