If you're not familiar with the IP, it's basically World War 2 in space. An alien race of bipedal felines, called the "Kilrathi," are stand-ins for the Japanese while humans, or "Terrans" (as they are called in-universe), are the Americans (although their ethnic diversity reminds me of the RAF during the Battle for Britain more than anything else). Regardless, the game is really about dogfights and fleet actions, just in space instead of the Pacific.
A war between two stars might sound too small compared to the vastness of the original setting, but don't forget that space (even in the limited context of our own solar system) is really huge. It's easy to think of various planets as being roughly analogous to places of conflict during the Pacific War; Mars as Hawaii, Mercury as the Aleutians, the Asteroid Belt as the Solomon Islands, Jupiter (with all it's moons) as the Philippines, Saturn as Malaysia and the moon Titan - Saipan. Perhaps Uranus and Neptune could be Rabal and Truk respectively. Pluto would make a good Iwo-Jima.
I also think a bit more strategic input would work wonders for the setting. Looking at the pre-alpha footage of Enemy Starfighter, it's pretty clear that a lot is being done to innovate on the space flight-sim combat genre. Being able to switch control from one spacecraft to another could easily be justified in-universe if the player character were a remote drone pilot.
Rather than heavily scripted missions with rigidly defined objectives, it would be great to see a more dynamic framework the adjusts depending on how well the player does during sorties (think Middle-earth: Shadows of Mordor, but with capital ships rather than orc captains). As always, I'm going to lobby for the option to fly as the Kilrathi, if for no other reason than increased replay value. Some kind of co-op multiplayer mode or asymmetric gameplay wherein some players fly fighters while others drive capital ships would be pretty interesting too. Oh yeah...and the obligatory traitor pilot should be decided via random algorithm. Then, maybe I'll have a chance to kill Maniac without getting court-marshaled.