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The U.S. and its allies have succeeded in killing and apprehending hundreds of al-Qaeda terrorists and disrupting the command structure that bin Laden used to plot the Sept. 11 attacks. But the wider campaign to defuse the appeal of Islamic extremism and win over those who sympathize with al-Qaeda has produced mixed results and has become a central issue of contention in the U.S. presidential campaign. Democratic candidate John Kerry says the Bush Administration's actions in the world since 9/11, particularly the invasion of Iraq, "have resulted in an increase of animosity and anger" and encouraged the recruitment of terrorists. The Administration's defenders argue that the U.S. can best provide an alternative to radical Islam by projecting military power into the heart of the Islamic world and bringing democracy to Afghanistan and Iraq. But Bush told TIME in an interview last month that he views the war on terrorism as a "long-lasting ideological struggle." Appearing on the Today show last week, he seemed to express doubts that the U.S. can extinguish the threat of terrorism. "I don't think we can win it," he said. "But I think you can create conditions so that those who use terror as a tool are less acceptable in parts of the world." A day later, Bush revised his position, saying that while "we may never sit down at a peace table ... we are winning and we will win." Still, his vacillations suggest an acknowledgment of the truth: at the very least, the battle for the future of Islam won't be settled anytime soon, and America's ability to influence it for the better may be limited.

The outcome of this struggle does not depend solely on numbers. The vast majority of the world's more than 1 billion practicing Muslims are peaceful citizens getting on with their lives. But interviews by TIME with religious leaders, Islamic scholars, government analysts and ordinary citizens in dozens of countries around the world reveal that the fervor of those who adhere to radical forms of Islam has intensified since 9/11. While Muslims continue to consume and even celebrate Western pop culture, hostility to the policies of the West, in particular the U.S., appears to be on the rise. It is being propelled in part by anger at the U.S.'s staunch support of Israel's policies toward the Palestinians, contempt for the U.S.'s occupation of Iraq and opposition to crackdowns on militancy carried out by previously permissive governments like those of Pakistan and Saudi Arabia. In part because of their countries' earlier experiences with European colonialism, some Muslims, from Indonesia to Iraq, perceive the U.S.'s stated desire to bring democracy to the Middle East less as a liberating force than as an unwelcome form of Western meddling.

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LUCIANO GHIRGA, defense lawyer for Amanda Knox, the American student accused of murdering her roommate while studying abroad in Italy; a verdict is expected by the end of the week
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LUCIANO GHIRGA, defense lawyer for Amanda Knox, the American student accused of murdering her roommate while studying abroad in Italy; a verdict is expected by the end of the week