wouldn't the prefix be UES (United Earth ship) or just UE?
I mean, if I had been writing ENT it would have been called the UES Enterprise, but it never received any such prefix canonically. Canonically, it's just Enterprise NX-01 -- same way the space shuttle launched in 1985 was just Atlantis OV-104, not the USS Atlantis.
Edited to add:
For that matter, if I had a magic wand I'd make it so that Federation starship prefixes had ways been UFS Enterprise -- "United Federation Starship" -- rather than the ridiculously American-sounding "USS."
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