Most people who can't speak English can communicate pretty fluently in some other language. Maybe Sarah Palin's language difficulties aren't at all due to ineptitude or lack of education but rather that her home planet has its own English-like dialect, and to other aliens from that world, she sounds perfectly coherent. Clearly she tried to practice English extra hard for the debate but still spoke with a pretty heavy accent.
Maureen Dowd of the NY Times tries to analyze the dialect in this op-ed, "Sarah's Pompom Palaver." The problem I can see right away with this piece is that even a lot of people who aren't snowed by SP may not know what 'palaver' means, let alone the folks who think somebody's qualified potentially to lead the free world on the basis that she's cute as a bug's ear. [Palaver: (n) a. Idle chatter. b. Talk intended to charm or beguile. ]
Pretty good word for what comes out of her mouth, if a bit too polite and dignified. Here in down-home middle America we have another word or two for it.