Seems pretty cool, not to fond of the 2 lives idea though...
One life is out of the question. Three lives is a bit much. Two lives is just right.
The difference between this gamemode and other TDMs or jail escapes is that this is in between.
The guards are trying to put down an uprising, basically. They need to work together to prevent citizens from escaping, and they need to stick together to hunt down the remaining citizens and kill them. If guards leave the vault door room, citizens will escape easily. If all of the guards stay in the vault door room, they will be overwhelmed if the citizens are smart enough to all attack at once. Guards don't want to go on the offense or defense, they need to be sort of a defensive offense; keeping some guards in the vault door room to stop escapees and sending a group deep into the vault to prevent the citizens from grouping up and overwhelming the guards.
The citizens are trying to escape and/or kill all of the guards. They need to work together to plan their attack. If every citizen tries to do everything themselves, they will lose. They must stick together and take out guards one by one. Citizens cannot take out all the guards at once. The citizens want to do the same as the guards in that they want to keep the guards from getting into the main vault area so they can gather weapons and prepare to storm the vault door room.
Also, I suggest a way for citizens to take out the power for some spooky effects.
Perhaps we could add some ways to weaken the guards, like taking out the power, or by adding other things you need to do in order to open the vault door.