Overall, 65 percent of those surveyed oppose shutting Gitmo, versus 32 percent who say it should be closed.

For Obama, the key numbers are the ones that break down opinion by political party. Ninety-one percent of Republicans oppose shutting Gitmo. Sixty-eight percent of independents oppose it, too. The only group that favors shutting down the prison is Democrats, and that is by a relatively narrow 53 percent to 42 percent margin.