Since I find it selfish to vote more own character I submit this team.
Taylor - Combat medic, heal the team and be able to fight back.
David - CQB/Pointman, get in close and blast targets with shotguns.
Ulris - Space samurai, tank the enemy and hack and slash.
Tippy - Demowoman, use her explosive to clear out obstacles, clear groups of men.
Calvyn - Pilot, he can be used to steal an Iconian vehicle and use it against the enemy.
Edit: How about using this team to steal the Iconian ship and take it to a station and sell it? While they are hijacking the ship the Privateer's Blade can bombard the Iconian position below and then send another team in to inspect what they were after. Or keep it simple and send the team to the planet and make their ship go boom.