Ira Sheskin, the Director of the Jewish Demography Project at the University of Miami, is not convinced by Romney's argument.

“Obama went to the heart of the Arab world in Cairo in 2009 and basically said to those people, 'Look Israel is our friend and it will always be that way and the holocaust happened. Accept it. It doesn't make sense to deny the facts,” noted Sheskin.

But Romney's criticism of what he called "the president's late efforts" to impose economic sanctions to stop Iran's nuclear program did connect with Stanley Zerner, a Jewish-American and Democrat, who says he will not support President Obama.

“I think he has talked for four years. [Saying] 'We're not going to let Iranians build uranium plants. We're not going to let them get material to do that.' And here it is four years later and nothing has been done. Iran is close to building those plants, getting that atomic bomb,” said Zerner.

While the candidates are courting Jewish-American support, some Muslim Americans in Florida, like political activist Amber Chaudhry, say they are turning away from the pro-Israel bias in both campaigns.

“I understand that they support Israel. I support Israel but why can't you support Palestine," said Chaudhry. "I mean America plays such a big role in the whole Palestine/Israel issue. Why can't you be a fair arbiter of that issue?”

In this very close election, analysts believe both candidates have made a political calculation to compete for the larger number of pro-Israel votes among Jewish-Americans and Christian Conservatives even it if means losing some Muslim-American support.