No new soundtracks are needed; instead, when two combatants get near each other, the "deadlier" plane's theme begins to play.
For example, if a Compass encounters an Ifrit, the Ifrit's theme will begin to play for both parties. If a Compass encounters a Cricket, the Compass's theme will begin to play for both parties.
Likely priority (subject to change): Ifrit > Revoker > Tarantula > Medusa > Compass > Darkreach > Chicane > Cricket
If a plane is going supersonic when it gets within encounter range, its theme will only start playing immediately after it passes by or lands a first hit, and it will temporarily play with increased volume or a distortion effect to increase the "dramatic entrance" that the plane made.