Since I do not have Darkmoon Tonk and Lil' Bling I had to find another strategy. Based on the strategy above and this comment on wowhead http://www.wowhead.com/npc=128013/bucky#comments:id=2520324 I came up with Ion Starlett (1,1,1), Darkmoon Zeppelin (1,1,2) and Cogblade Raptor(2,2,1)
Starlett: Pass (swaped with Zeppelin)
Zeppelin: Bomb, Missile, Decoy, Missile, Bomb, Missile (dies with third swap)
Raptor: Screech, Wounds, Batter until Bucky is dead.
I tried this several times and got Bucky always killed without using the Starlett again but in case you are very unlucky it should be able to kill Bucky with Powerball.
Mechanical Melee 
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