You're mistaken about Friedman not being for Basic Income. In an interview only 12 years ago, Friedman was asked about basic income as an "alternative" to the negative income tax, and Friedman replied that both were the same thing. Friedman wrote, "A basic or citizen's income is not an alternative to a negative income tax. It is simply another way to introduce a negative income tax if it is accompanied with a positive income tax with no exemption. A basic income of a thousand units with a 20 percent rate on earned income is equivalent to a negative income tax with an exemption of five thousand units and a 20 percent rate below and above five thousand units."
The entire interview is online at:
http://www.usbig.net/newsletters/june.html