Besides believing Iraq had WMDs and saddam did 9/11 they had some interesting ideas about Bush's foreign policy:
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In particular, majorities of Bush supporters incorrectly assume that he supports multilateral approaches to various international issues, including the Comprehensive Nuclear Test Ban Treaty (69 percent), the land mine treaty (72 percent), and the Kyoto Protocol to curb greenhouse gas emissions that contribute to global warming (51 percent).
In August, two-thirds of Bush supporters also believed that Bush supported the International Criminal Court (ICC). Although that figure dropped to a 53 percent majority in the PIPA poll, it's not much of a drop considering that Bush explicitly denounced the ICC in the first, most widely watched presidential debate in late September.
In all of these cases, majorities of Bush supporters said they favored the positions that they imputed, incorrectly, to Bush. Large majorities of Kerry supporters, on the other hand, showed they knew both their candidate's and Bush's positions on the same issues.
Bush supporters also have deeply erroneous views regarding the extent of international support for the president and his policies. Despite a steady flow over the past year of official statements by foreign governments and public-opinion polls showing strong opposition to the Iraq war, less than one-third of Bush supporters believe that most people in foreign countries oppose the U.S. decision to invade Iraq. Two-thirds believe that foreign views are either evenly divided on the war (42 percent) or that the majority of foreigners actually favors the war (26 percent).
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http://www.alternet.org/waroniraq/20263/