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President Obama is still weighing a possible military response to the crisis in Iraq, as the militant group the Islamic State in Iraq and Syria has taken over several cities in the Sunni heartland since last week. But a new poll shows that the one thing an overwhelming majority of Americans don't want him to do is send American troops back to Iraq to deal with it.

The survey from Public Policy Polling found that 74 percent of American voters are against sending troops to Iraq in response, with just 16 percent supporting doing so. Opposition is highest among Democrats -- 82 percent opposed -- and independents -- 86 percent -- but even among Republicans, twice as many are against sending troops, 57 percent, as support it, 28 percent.

Obama announced Friday that he wouldn't be sending combat troops into Iraq. But on Monday, he said that up to 275 troops could be sent, strictly to provide security for U.S. personnel in Baghdad and the large American embassy there.

Although the Public Policy survey didn't ask about airstrikes, Yahoo News notes that a new Rasmussen poll found that 46 percent of likely voters favor airstrikes in Iraq, with 32 percent opposed and 22 percent not sure.