Build a deck that gets a team bonus going. Learn how to bluff - sending out cards that it looks like you be playing tons of pillz
on but with not so many. Learn how to block with damage reducing characters and few pillz. Don't fury unless you have to. Be
unusual with your card use and plan ahead.
Even though i do agree the randomizer sometimes gets overboard, most of the time i find it that pillz do exert some effect on the randomizer. the first thing i noticed (in my first week here, being completed today, iirc) is that, the higher sum u get from pwr and pillz, the bigger then chance u start the round (believe me, i've seen a few low chars pilled to the top burst some hardcore cards).
The more pills you (and your opponent) use the more it is about luck.
If you don't/can't rationalize pills play the deck that suits your style. Use some pure offense heavy hitters like most of us and just bet what you feel like. Common sense maybe off at times but it is never off by too much. Preferably use "Stop Opp Ability" if you hate those defensive decks. Always try to have good attack (aka use pills or +att cards to get some 15att or so) to force the randomness upon defensive players. It will be more about luck but you can build whole multi-million city in the middle of desert based on the fun of random games even if in the long run people win less than lose.