Team building in this game is very limited, perhaps on purpose, perhaps not.
I would love to see support cards that could be included in a player's deck or optionally as part of their starting team.
Right now I feel like trying to test this idea by saying you can include droid or vehicle support cards on your team, the cards cost double their supply cost in character points.
BB-8 would be 2 character points
First order Tie Fighter would be 6 character points.
Standard deck building rules apply to these cards so you can't take a red support if you do not have a red character.
These cards may be strong options but they do not give a player any health points and do not need to be killed to win the game. so a balance must be struck with how many you choose to include on your team.