The media is largely misreporting Obama's statement and its consistency with public opinion.
But Fox also followed up with this question:
Regardless of whether you think it is appropriate to build a mosque near ground zero, do you think the Muslim group has the right to build a mosque there, or don’t they have that right?
Here, the numbers were nearly reversed: 61 percent of respondents, including 69 percent of independents and 57 percent of Republicans, said the developers had the right to build the mosque; 34 percent said they did not.