With that said, specifically replying to your comment: I would work, because the income levels i've seen in this thread ($1k/m) would barely be enough to live on.
Hell, my existing debt alone (car), and current housing cost, keep me working. The idea of having to sell nearly everything to survive on the base income is not something i enjoy.
Furthermore, even if i did end up at the base income after selling most of my more expensive cost-laden possessions, most people enjoy having money to purchase technology, entertainment, etc.
With that said, i still love the idea of a base income. Knowing that if you fell out of work, ill, or whatever - you could still live? That you wouldn't go homeless? That really feels like a .. positive, proud of my country sort of thing.
Again, i'm not claiming that any of this would work, or that i know anything. I'm simply replying to your question, from a personal standpoint. :)