I believe theres a AvA axis bomber squad
No, they are a ground attack squad. SG2 Immelman, I believe.
Just for clarification II./SG.2 "Immelmann" technically is an attack squadron, but it is more or less a hybrid between a bomber squadron and an attack squadron; basically this squadron flies a well rounded variety of air-to-ground missions which includes level bombing missions in the Ju-88.
And Again this is an AvA only squadron, so as Wojo said, you can join SG.2 or any other AvA squad for that matter, and it won't affect your MA squad.
Btw, SG.2 is recruiting if you'd like to join, just look us up in the squadrons section of the bulletin board.