Christianity isn't Communist but it is egalitarian, which means to the extent it's not Communist, it is hypocritical. 

As we can see, the rhetorical inertia of the Communism tends to outweigh the rhetorical weight of the responsibility. "All are equal before God," wins against "Do not covet thy neighbour's land," and Christianity unavoidably resolves the hypocrisy by decaying into some form of Fascism.