The graph that conservativeamericans.org only excludes active duty military personnel and people who are imprisoned. The unemployment rate should also exclude everybody who isn't actively seeking a job, such as retired people, full time students, disabled people, homemakers, and so on. It's entirely possible that it's real (though I couldn't find it either), but even if it is, it is extremely misleading, as it includes people who are not even part of the labor force.