Basic income is also discussed in Germany (esp. by the Pirate Party), although not that high in amount by far (maybe ~ EUR 800-1000 a month).
It would be economically viable if it would replace all other forms of already existing subsidies and would therefore dramatically reduce the related bureaucracy (if that would actually happen in practice is another question).
They made surveys and almost everybody said they would still go to work, so the argument "no one would work" is not viable.
It would take away existential fears, and people would prefer the work they actually would love to do, resulting in a boost of productivity.
None other than Milton Friedman proposed a negative income tax, which is a similar model.
It makes sense in a more and more automated society; production is unfortunately already quite centralized and controlled by a few corporations, and their profit and wealth does not easily flow back into society. Stock markets are corrupted, laymen cannot easily have their (literal) shares of this wealth.
The problem I see is, of course, the centralization that would be required to manage the collection and distribution of wealth, and the corruptible bureaucracy that would almost certainly come with that. States (and central banks) can't even manage money supply, as we all know.
Maybe a more libertarian-compatible approach would be to try this model in several independent city states (for which inhabitants would simply own shares) and see how it would work out.
An alternative might be a more syndicalist model: People own shares of the means of production directly, similar to how it's done at Mondragón:
https://www.youtube.com/watch?v=-obHJfTaQvw