. The austrian anarchocapitalists believe, that we will produce even more without the state. That's the greatest economic joke I ever heard.
I don't know where you got this idea, but that's not true. I know of no argument to imply that a free market would produce more than the current market.
The fact that a free market wouldn't have taxation means it's virtually guaranteed that it would produce more than the current managed market. Because there'd be a lot more wealth available for investment. Governments cannot invest, despite their ridiculous attempts to do so, because it costs them nothing for those investments to fail and the incentive structure makes them far more wasteful than an investing private individual.
It might, or it might not; depending on the desires and needs of the people. The difference would be that productivity would not be siphoned off by an ever more needy state, and those who are dependent upon the state would have to learn how to produce something of value as well.
Yes, and it's those people who will fight tooth and nail to continue the system until it crashes irrevocably, and why political change in the US prior to a major economic disaster is not likely to happen.