Pretty easy and clear strategy here. Put all 12 of your pills into dealing damage with the four that don't have damage reduction and spend the other two turns reducing damage. The all-stops and SoA prevent the damage reduction from being taken away by SoA most of the time. It's worked really well for me so far. Only card I don't like that much is Arno since he can't attack for crap. Every other card in that deck can attack well enough if need be.
Nice idea, but to be honest none of your "damaging" cards are especially damaging apart from Dolly Round 1/2. You have to take into account that they might have DRs - Burdock is only 4 damage, Leviatonn has 5 damage but only 6 power. Methane is the only good damage you have, but don't forget that the opponent might have DRs - Roots, Piranas with Ulrich, and Nightmare now have their own -3 min 2 DR. So you have to put all your pills into one of 4 cards that might either get walled (All-stops lose to superior power), DRed (Methane), or SoAed (Dolly).
The other problem is that your deck lacks power - Bristone, Arno, Jeena, Leviatonn are all 6 or less power, you couldn't even win with your DRs unless you pill hard...which in turn removes your hand of a DR since you used it to deal damage.
I suggest you drop Bristone - the 3 DRs in Roots are more than enough. In turn, downgrade her to Arkn, then push Methane to either Wardom or XU52 for more damage. If you want to keep Methane, push Leviatonn to Anibal. 6 power is too low for my liking.
The concept is nice..but in terms of playability it's a bit iffy.