You think that's potentially bad on the civilian front... The 37th fleet in Macross 7 has at least 186 warships with between 40 and 800 fighters (and hence fighter pilots) each. Sounds like the quarian fleet. Ships I can see taking as part of a name. Fighters I would think would take the name of the parent ship, but now I'm just speculating.
There's no indication of people using their fleet or ship as part of their name, other then Sheryll Nome's stage title as the Fairy of the Galaxy, and that isn't necessarily a reference to her home of Macross Galaxy. Really the only two fleets with names we've seen are Macross 21 'Galaxy' and Macross 25 'Frontier'). Other the that they just seem to use the number of the New Macross Variable Attack Aircraft Carrier and City Dome. Battle/City 7, 13, 11, etc.
I was more referring to inter-ship and unit rivalries, especially since the large scale long range colonization fleets are BIG.
1 New Macross class stealth variable attack carrier docked to a New Macross Dome City (Some 800 fighters, attack craft, bombers, shuttles, etc)
20 Uraga class sleath escort battle carrier (some 75 small craft each)
65 Guantánamo class stealth carriers (some 45 small craft each)
120 Northampton class stealth frigates (roughly 30 small craft)
1 Hollywood class amusement ship (also houses the fleet's fold comm beacon)
1 West Point class military training ship
1 Riviera class resort ship
1 Sunflower class farm ship
1 Three Stars class factory ship
1 Einstein class research ship
1 Heaven class cemetary ship
1 Mark Twain class resort ship
Possibly other midszed and small sized craft
The fleet's total population when Macross 7 starts in 2045 is about 500,000 if memory serves. City 7 had a population of 350,000. For Scott, Frontier's Island 1 (ie, just the dome) had a population of 5 million, with another 5 million in the island cluster and other ships in the fleet.
Doctrine at the time also suggests the Macross 7 fleet had a number (between 20 and 65) of cruiser class warships (guns, no fighters) should be present but none are shown in the anime or listed in Kawamori's notes and writings.
Pulling this back towards gaming, the last time I ran a Macross game I made the PCs a special ops team (the players wanted to fly variable fighters and by in the UN Spacey) flying VF-22 Sturmvogel II fighters (the production version of the YF-22 in Macross Plus) onboard a Northampton class frigate attached to a Macross 7 style colony fleet. If i did another Macross game, I'd probably have to go with a variant of the VF-25 Messiah fighter aboard a Macross Quarter class carrier.