Good starting point Kita. Guess I'll add my own 2 cents.
Cladari - I very much agree with Istvaan that Systema is very Caldari-ish. I would also add Krav Maga in there as well. I doubt they would have very much tradition to it though. Aside from being efficient the Caldari are also practical so I would see them more as watch this, practice it, learn it, and be prepared to regurgitate it in the morning. At least for the Civire and Deteis.
The Achura probably have their own style, and I would imagine it
is more of a martial art that is steeped in tradition. I would guess something like Kung-Fu since they have monks, but each sect probably has their own personal style. Another idea is something like Japanese samurai. Forms focusing on weapons like swords, spears, bows and the like, but that's also present in Kung-Fu as well. So perhaps a mix of the two depending on the monk group they belong in. Personally I view the Achuran philosophy(at least part of it) like
this.(specifically the part about perfection at about 1:40, so no matter what style they may practice they are devoted to perfecting it with both mind and body) Given the lack of PF about Achura you could probably go crazy with em and about anything would be considered plausible, but this is my take.
Amarr - Kickboxing is reasonable, but instead of Muay Thai, I would see them using something more refined like Savate(
Ex. 1,
Ex. 2 and maybe also some Pankration (
Examples ) thrown into the mix as well.
The Khanid I see as being somewhat similar to the the Achura. No Kung-Fu but very heavy into weapons with a samurai feel. Though I see them as being less spiritual about it and more ferocious in how they do it. Less devotion to perfection and more devotion to taking someones head off.
Minmatar - Muay Thai all the way with some Bokator (
Ex.1,
Ex. 2 ) thrown in for good measure.
Gallente - I would say they would be a melting pot of sorts given that at least some members from all the other empires do make residence in the federation. The Intaki would probably have their own thing and for them Tai Chi comes to mind, but I know little to nothing about the Intaki other than they have a liberation front
. The Jin-Mei would probably have something of their own as well, but I know even less about them than I do the Intaki.
For their military I would suggest a military martial art. (
Ex. 1,
Ex 2 )
The Guristas, and Cartel would most likely be a mix of all the empires. The Guristas would probably be more heavy on the Caldari martial arts, but given that both do take in members from all the empires I would imagine alot of cross training would take place. The same hold true for the Serpentis as well. I would imagine given both the Gallente and Cartel influences they are most definately a melting pot of all the martial arts styles.
The Blood Raiders would probably be heavy in Amarr and Minmatar influence, but the only reasoning I have for that is that you have to have Amarr and Minmatar ship skills to fly the Blood Raider ships.
Nation - From what I remember of TBL I doubt they would really have one. I distinctly remember the child(?) I believe it was in the giant rolling ball(?) ( I really need to read it again). If anything, and I hate to make the reference, I would see them as being somewhat Borg-ish in their fighting. Not so much taking alot of blows and modulating their shield frequency, but since they would be enhanced and modified in some way(Ghost Hunters spikes for example) they would most likely just overpower anyone foolish enough to come into one of their stations without an invitation with sheer numbers and intimidation given their reputation.