It is incredibly frustrating trying to queue solo. Your chance of your random group being up against organised teams with perfect comps is really high, at least at the moment. Now I find this game about 500 times more fun playing with friends, but they often aren't on and I'd like to be able to queue solo from time to time without wanting to tear off my face and eat it.
Why not make Quick Match solely for solo queues? Groups of any size could go into a new queue where full and partial groups vs each other on a (relatively) even playing field. That leaves QM as a strictly disorganised nub v nub contest.