Rice says Bush and Obama both deserve credit for Bin Laden capture

When it comes to President Obama's recent foreign policy successes, former Secretary of State Condoleezza Rice isn't going to let the current administration have all the credit.

In an interview with CBS News chief White House correspondent Norah O'Donnell, the former top aide to President George W. Bush said the success of drone attacks in Pakistan and the killing of a number of al Qaeda leaders was "perseverance over two presidencies."

"President Obama has built very well on the legacy and the institutions and the mechanisms that President Bush left him," Rice said.

"There would have been no drones, had not President Bush in fact authorized the creation of the armed drones that he now uses. There would have been no information about where Osama bin Laden was, had it not been for the courier that was identified in 2007 that led us to Osama Bin Laden," Rice continued.

In her newest book "No Higher Honor," Rice says she felt "vindication" for "putting into place" steps that led to the killing of Osama bin Laden.

But she also admitted to difficulty during the Bush years. In the book Rice describes a "cycle of distrust and dysfunction" between her, the State Department and the Defense Department. And to O'Donnell, she said there were "substantive differences" between her and Donald Rumsfeld, and her and Dick Cheney.

In the interview, Rice definitively ruled out going back to the White House, particularly as second-in-command. She said it's time to "move on to people who have a fresh view" and that she is "not interested." When asked again if she would consider a hypothetical VP offer from Mitt Romney, Rice assured CBS News that she is interested in policy, not politics.

As for her personal politics, she wouldn't disclose whether or not she voted for President Obama, instead she emphasized her affiliation with the Republican Party saying, "I am a proud republican. And I think that's well understood. And the implications of that are well understood."

Rice, however, has spoken with the President since he took office, advising him in the Oval Office on the START treaty.

Watch Norah O'Donnell's full interview with Condoleezza Rice below: