As requested above, here's a bit more of a breakdown for why I included each set:
Fall of the Jedi - This one is an auto-include. Darth Vader, Force Choke, and Heat of Battle are all key cards for keeping the opponent behind in board position. The Dark Side Apprentice is a decent filler card and Vader's saber makes the already excellent Vader into an absolute beast. Most of the time, Vader will be commited to the force and play defense (and hand out lots of damage with his ability and event cards).
Shadows of Dathomir - Mostly covered above, but basically included for the Rancor for killing LS units and the Nightsisters for commiting to the force. A Disturbance in the Force is also a nice to win the force battle, lock down important LS units, and trigger Vader's ability.
The Emperor's Web - What's not to like here? Two more copies of Force Choke (4 total? Sweet!). Two copies of Force Lightning. The Emperor is sweet. Unlike Vader, he'll probably be put on the offensive, to keep LS units from even attacking in the first place. While this deck isn't focused on destroying LS objectives, if you do happen to take one out the ability to grab one of your event cards back is great. The set is rounded out with the royal guard and some resource generation, always solid options.
The Heart of the Empire - Two more useful event card options. Due to the clock in the game, a board wipe like There Is No Escape favors the DS player. Force Stasis is nice to delay a big attacker like Luke or a buffed Yoda. The Coruscant Defense Fleet is great for sitting and defending. It takes lots of hits, has shielding on top of that and can protect the objective. Added bonus, if you win the edge battle, it will kill one of the attackers. Throw in 3 resources generated and it's a pretty useful objective set.
Reconnaissance Mission - Extra card drawing (by increasing your hand size to 7), some fate cards, and a fun surprise for your opponent when you win an edge battle. Included mostly because the extra card drawing is so useful, though the fate cards are always nice.
Counsel of the Sith - With Reconnaissance Mission included, something had to be dropped to one copy. Card draw (and Vader trigger) in the free event Dark Precognition, another copy of Twist of Fate, a couple of resource generating cards, and a filler character. Not a bad set, but not as tightly adherant to the deck's goals, so it gets dropped down to 1 copy.