The New York Times got it wrong. And Charlie Gibson got it wrong.
There is no single meaning of the Bush doctrine. In fact, there have been four distinct meanings, each one succeeding another over the eight years of this administration -- and the one Charlie Gibson cited is not the one in common usage today. It is utterly different.
He asked Palin, "Do you agree with the Bush doctrine?"
She responded, quite sensibly to a question that is ambiguous, "In what respect, Charlie?"
I know something about the subject because, as the Wikipedia entry on the Bush doctrine notes, I was the first to use the term. In the cover essay of the June 4, 2001, issue of the Weekly Standard entitled, "The Bush Doctrine: ABM, Kyoto, and the New American Unilateralism," I suggested that the Bush administration policies of unilaterally withdrawing from the ABM treaty and rejecting the Kyoto protocol, together with others, amounted to a radical change in foreign policy that should be called the Bush doctrine.