Shortly after 20-year-old Yusra Azzami strolled with her fiance and sister on the beach in Gaza last week, vigilantes from Hamas grew suspicious that she was engaged in “immoral behavior.” They followed her and shot her dead as she sat in her fiance’s car, dragged her corpse out, and mutilated it with clubs and iron bars.

This atrocity follows on Hamas having murdered more than 400 Israelis going about their daily business since 2000. Unsurprisingly, the American and other governments consider Hamas a terrorist organization.

But how do they deal with such an organization? Two very different approaches exist, and President Bush has articulated them both. In June 2003, he said that “the free world, those who love freedom and peace, must deal harshly with Hamas,” and he specified that “Hamas must be dismantled.” Last month, however, he offered Hezbollah a chance to prove it’s not a terrorist organization and redeem itself “by laying down arms and not threatening peace.”

This alarming second view builds on an outlook with growing support within the American government. Many diplomats and intelligence officials believe, for example, that engaging the Muslim Brethren in Egypt (in the Washington Post’s description) “offers an opportunity for political engagement that could help isolate violent jihadists.” And Arabic language news sources report that American officials in Egypt recently met with Muslim Brethren leaders.

To forward this wrongheaded idea, an organization called the Conflicts Forum was founded in December 2004. It has the immodest goal of not just changing policy toward radical Islamic terrorist groups, but of changing how Westerners see radical Islam itself. Conflicts Forum wants to challenge “the prevailing Western orthodoxy that perceives Islamism as an ideology that is hostile to the agenda for global democracy and good governance.”

Conflicts Forum has several advantages, starting with the fact that what it terms the “prevailing Western orthodoxy” – as noted above – is quite soft. The group’s founder and leader, Alastair Crooke, was a ranking figure in both British intelligence and European Union diplomacy, someone who hobnobs with insiders, gives upbeat speeches at premier venues (“It Is Essential to Negotiate with Terrorists” at the London School of Economics,” “Can Hamas Be A Political Partner?” at the Council on Foreign Relations), and enjoys a fawning press.

But Mr. Crooke’s true identity came out in a meeting he held with the Hamas leadership in June 2002, at a time when he still represented the European Union. We have an account of the meeting prepared by Hamas, which Mr. Crooke says is inaccurate, and it deserves a full reading. At least some of the transcript, such as when Mr. Crooke says, “As for terrorism, I hate that word,” fits Mr. Crooke’s routine public dismissal.

The West, he says, faces not “terrorism” (his quote marks) but a distinctly less nasty “sophisticated, asymmetrical, broad-based and irregular insurgency.” And his Conflicts Forum, dubbed by journalist Patrick Seale as “a club of disaffected diplomats and intelligence officers,” engages in a pleasant form of personal diplomacy that diminishes the horror of Islamist terrorism.

Thus, at a Conflicts Forum meeting last month in Beirut with the leadership of four Islamist terrorist groups, including Hamas and Hezbollah, the mood and the food were too good to allow this inconvenient subject to intrude. Stephen Grey, a journalist covering the event, later reflected on it: “Invited to dinner with the participants in the Beirut talks, and sharing jokes with the Hamas men over tiger prawns, avocado, pasta and cherry tomatoes, I wondered privately how one would explain all this intimacy to the mother of a child killed by a suicide bomber.”

Conflicts Forum offers a seductive alternative to the hard business of waging and winning a war. Unfortunately, its wrongheaded, defeatist, and doomed approach amounts to preemptively losing the war. Its counsel deserves a round rejection.

Mr. Pipes is director of the Middle East Forum and the author of ‘Miniatures.’