Both Bush and Obama have claimed the right to kill and capture alleged terrorists anywhere in the world or hold them in military detention indefinitely -- ie Guantanamo.
In their view the world is a battlefield -- not just Afghanistan and Iraq.
Their claim is that alleged terrorists -- at least those related to al Qaeda, Taliban and associated forces (whatever that means) are at war with the United States and that the US can make war on them which includes capturing them and holding them forever without trial -- no matter where they are: Yemen, Somalia, United Kingdom, South America or anywhere.
The determination of whom to capture and/or kill is made by the President without any court.
Bush and Obama have always claimed that US citizens can be so treated as well -- so that is why under Obama we saw the killing of an American citizen by a drone in Yemen -- al-alwaki.
Both Presidents have also acted as if they can kill and capture alleged terrorists that have no relationship to 9/11 -- the new law confirms this practice.
-- Michael Ratner, "Blame Obama First -- Then Congress for Not Ending Guantanamo and Its Underlying Practices" (Just Left); Michael Ratner hosts Law and Disorder Radio, a weekly hour long program that airs Monday mornings at 9:00 a.m. EST on WBAI and around the country throughout the week, with fellow attorneys Heidi Boghosian, Michael S. Smith.