That's preposterous. 2 DUI's and you are okay with killing them? I would not even trust any government with that power! Oh look someone who disagrees with the government, ahh just frame him for driving drunk a few times that will shut them up.
If the accident kills people and the accident occurred because of drunk driving, the driver should be given severe punishment. However, I am not in favor of death penalty. In fact, I don't think death penalty justifies any kind of crimes. For a cold blooded murder life imprisonment will do.