As a game master, i'm kind of curious as to our role in this game. Are we simply missing from the opening scene? Are we the first to die? Do we play as an NPC?
Without knowing... well.. Anything about the system, I had a few ideas for things I could try. First, I am late home from work when the attack starts and I am stranded elsewhere and I send text messages to the group. Second, I thought that taking the group on "field trips" to help them plot their actions might be a good way to draw them in. When I pointed out that we'd look and sound a little strange talking about how to avoid the zombie invasion in public like that, one of my group responded (bless her heart) "Even if we were, we'd still be far from the craziest people in that Wal-Mart"
I also wonder how the stats will work. It kind of sounds like a form of Tri-Stat, but how would you keep the players honest? Maybe have the rest of the group decide on what the stats for the one player are and the player remains silent, and so on to each player in turn.