Interesting as Eagleton is (and he is), he freely admits (e.g., in the preface to "After Theory") that he draws on his teacher (and mine) the late Oxford theologian Herbert McCabe OP, a Wittgensteinian and Marxist, whose work included a consideration of “The Class Struggle and Christian Love”, including the following remark: "What is wrong with capitalism is simply that it is based on human antagonism, and it is precisely here that it comes in conflict with Christianity. Capitalism is a state of [class] war ... The criticism of [human life and history] that we find in the gospel through the tradition of the church inhibits us from a simple faith in the power of organized greed to solve human problems, and so we are predisposed to accept the commonsense critique of capitalism that socialism has provided."
^^^^ CB: Not to be persnickety, but there's good Christianity and bad Christianity, no ? Good Christianity and capitalism are theoretically in conflict, but much of actually existing Christianity has been in harmony with capitalism, in cahoots even. I won't dig up the famous quote from _Capital_. Oh why not
"The religious world is but the reflex of the real world. And for a society based upon the production of commodities, in which the producers in general enter into social relations with one another by treating their products as commodities and values, whereby they reduce their individual private labour to the standard of homogeneous human labour for such a society, Christianity with its cultus of abstract man, more especially in its bourgeois developments, Protestantism, Deism, &c., is the most fitting form of religion..."
http://marx.eserver.org/1867-capital/1-commodities.and.money/1.4.commodity.fetishism.txt
On the other hand, here's something
Encounter in Humanization: Insights for Christian-Marxist Dialogue and Cooperation by Paulose Mar Paulose
Bishop Paulose Mar Paulsoe prefers to call himself a "secular theologian" because he communicates the Christian faith in secular language. He received his Ph.D. from Princeton Theological Seminary for a dissertation on Bonhoeffer’s corrective of Karl Marx. He was a Bishop in the Chaldean Syrian Church in Kerala, India and served as President of the World Student Christian Federation. Published by Christava Sahitya Samithy (CSS), Tiruvalla-689 101, Kerala, S. India. This material was prepared for Religion Online by Ted and Winnie Brock.
Chapter 2: The Continuity of Marx’s Thought
http://www.religion-online.org/showchapter.asp?title=1572&C=1506