>If our solar system is located in sector 001...
I picture an "interesting" meeting of delegates during the run-up to establishment of the Federation:
Representative from Earth: As a speaker for the world who suggested the idea of the Federation, I propose the creation of a standard galactic navigation map, in which the Milky Way be divided into regions called "sectors," of which number 001 would be centered on Earth.
Andorian rep: You forget yourself, pinkski--uh, Mr. Delegate. Ours is the largest navy. Clearly Sector 001 should be centered on Andor.
Tellerite: If it's not centered on Teller, we're not joining.
(some sort of lizard): It is obvious that Sector 001 be the home sector of the species whose place in the galaxy's shared evolutionary ladder is the lowest...and thus, whether literally or not, the oldest.
(some sort of insect): That would be US.
Skorr: NO! The tallest of us should hail from 001!
McCoy's ancestor from John M. Ford's The Final Reflection; Y'all wouldn't even be sitting in this room if we hadn't invited you.
Tellerite: There are poor planets in the Tellerite empire. We will relinquish our claim on Sector 001 for ten trillion credits.
Vulcan (under her breath): Surak's TEARS.
Human; (under his breath): We're number one...