The Corporatist spin machine went into high gear with the announcement that Osama bin Laden had been killed. They immediately began downplaying the Obama administration's role in getting bin Laden, portraying it instead as just a continuation of the Bush administrations efforts. Rumsfeld, parroting the talking points, said he was thankful Obama had the wisdom to continue Shrub's efforts.
It's not true.
As discussed at Think Progress, the Bushies actually lost interest in bin Laden and dropped his capture well down their priority list. Bush was open about that, repeatedly stating that bin Laden was not on his radar. He was focused on other things, like his screw up in Iraq.
Obama, by contrast, brought the bin Laden file back to the top of the pile as he had promised to do in his campaign. He threw government intelligence resources back into tracking and locating the al Qaeda chief. And Obama succeeded where Bush gave up.