Hit hard, deny healing, double damage your shifted units and burn spells. Double damage entomb grenadin also works fine as it deals 6 dage when it dies.
The ShiftstonedEternal Power Calculator is a deck-building tool that visualizes your odds of drawing enough Influence and Power based specifically on the cards found in your deck.
Tried the deck, loose 8-2. if you get the cards, you win, but most part it gets stalled quickly. If you did not win by turn 5, probably you will loose.
Tantrum works out better for me. Sure, boosted torch equals obliterate, but i found i usually needed tantrum's overwhelm to deal with smaller baddies to keep hitting face with units AND deal the remainder of the damage to enemy player, or deal 3 and remove aegis from player.