The primary win-con for this deck is to play Army of the Damned with at least one force-multiplier in place to overwhelm your opponent in one or two massive combos. In my playtesting, I can usually get Army of the Damned out by turn 6 or 7.
Possible kickers for the zombie invasion are: Foul-Tongue Shriek, Dictate of Erebos, Deathgreeter, Overseer of the Damned, Shepherd of Rot, and Vengeful Dead.
Skirsdag High Priest can be used to tap two 2/2 zombie tokens for a 5/5 demon token with flying. With lots of tokens on the battlefield, this is a good opportunity to double-down for free.
Profane Command, Doom Blade, and Murder are there to hold off as many creatures as possible until enough mana can be conjured for Army of the Damned.
Finally, Wall of Shadows and Wall of Souls are there for early defense and to provide a low-mana creature to sacrifice for Culling the Weak.
A good round might play out with getting a Shepherd of Rot card in on the battlefield untapped, then, on the next turn, playing Army of the Damned and immediately tapping your Shepherd of Rot card for 14 damage to all players. Once the Zombie Tokens untap, attack and play Foul-Tongue Shriek. This will do 13 damage to the target player, give you 13 health, and then force your opponent to deal with 13 2/2 creatures attacking at once. If your opponent manages to survive the onslaught, you can always tap the Shepherd of Rot for damage equal to the number of zombies on the battlefield and pray for a Skirsdag High Priest card to start producing demon tokens.
Still a work in progress so all suggestions welcome. This deck is designed as a $30-ish dollar range deck, so please keep this budget in mind with suggestions.