I'm sorry, your acronyms have thrown me, since I don't think I've seen them 
before:
 >they were descended from Earth colonists), and the Klingons and the FoP
 >were at
 >war with each other. (Sorry, TWT is after the Organian Treaty, so they
TWT? I have no idea.
FoP? I assume that's the United Federation of Planets, commonly acronymed as 
"UFP", right?
 >The TOC Enterprise had a mainly human crew because the makers assumed that,
 >being an Earth ship, it would have an Earth crew. The Enterprise gained
 >alien
 >crew in the animated series, when makeup ceased to be a factor.
TOC? Table of Contents!?!?
Earth crew? Spock isn't exactly completely Earth stock 
 >Klingons look different, but I don't have much hope, because there's also a
 >DS9
 >episode where some of the best-known TOS Klingons reappear - in the new
 >makeup.
It's not much of an explanation 
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