Nice church folks, liberal and conservative, naturally think that the Israelis and the Palestinians really, really want peace, because that's what they'd want in their place. That's just one of the manifestions of the weird idea that all people are alike, which is pervasive in the Western World these days. They're not.
Now, Palestinians don't want to make peace because the Israelis took Arab land and ran the Arabs off of it. Note that I don't say Palestinian land, because if I did, some neocon doofus would tell me that there's never been a Palestinian nation, which he thinks is an argument. Well, up till 1776 or so there had never been a United States of America nation, but that didn't mean the people there weren't justified in being annoyed about British oppression.
And Israelis (or their government, to be precise) don't want actual peace, because that might dry up some of the massive foreign aid they get, and peace would of course make it difficult to grab more Arab land in the future.
And Zionists in America certainly don't want actual peace, because that wouldn't be any fun. As only he can, Steve Sailer explains with a zinger of an analogy, HERE.