On a more serious note, Divine did not misspeak when he said it's a wall of text. You could probably have trimmed a few words out by saying "Greeks" instead of "those of a Hellenistic minority/origin/descent" more often though.
I know this is a fairly common problem in faction backgrounds, but if there were really so few Greeks aboard the Hispania who would have suffered the same problems as the rest of the Outcasts, would they really be that Greek without actually becoming 'one big family' as it seems to me? Doesn't leave a lot of breeding options, especially with the extremely low fertility rates. I didn't really understand that part of it.
*Ok, re-read it and it seems ok.
The diplomacy is a little barren at the moment, you can definitely include the Colonial Republic, IMG and GMG in the hostile category given their strong anti-slavery ideals and operations. Particularly for the first group, who I've also RPed as a significant proportion of the Crayterians being Greek (so thus a lot of them would be Greek-descended upon arrival in Sirius), who would particularly hate your perversion of our culture to be all about slaves. What about all those ideals like democracy, free thinking and... loving of whoever you wanted? Maybe not that last one, age-wise
Also after a bit of research, I appear to find that Greeks really loved their slaves back in the day. Still, Crayter had them dislike the mistreatment of people (and over-use of machines) by some unspecified conflict, so CR are still against it by principle.
Anyway, as long as you can put as much effort into this as your other groups it should be interesting RP-wise, I just hope you can attract enough people with something more than slave-smuggling.
EDIT: Some stuff added above. Also, Greeks and other Mediterranean countries are fairly conceivable to be included aboard the Hispania, since it was kind of a mess onboard there.