Part One: Part Two: CNBC Squawk Box hosts Joe Kernen, Becky Quick and Carl Quintanilla interviewed Alan Greenspan June 3 from the Department of Labor in Washington, D.C., where they had traveled to broadcast the show remotely. In his comments, Greenspan says that one of the missing parts of the economic recovery is the construction sector, missing partly because of the weak housing sector. According to research by his firm, Greenspan said, If the production of longer-lived assets had recovered as it has in the past, unemployment would be at 6 percent. Greenspan also supports raising income tax rates to the Clinton era levels, if necessary, for a budget agreement that reduces the deficit and debt outlook. Greenspan also does not believe that there will be a crisis after August 2, as Secretary Timothy Geithner has suggested, if the debt ceiling is not raised. Treasury is high likely to continue paying interest on the nation's debt service. The problem is that ...