I think capitalism and socialism are both compatible with Christianity, but both have tensions no doubt. People like to use Christianity for political leverage, especially in the War Room, but in most major ways Christianity is stubbornly apolitical. In particular the writings of the New Testament do not try to establish a society or government, except in the narrow sense of the church. A decent rule of thumb is that almost anytime a modern American of almost any political stripe quotes the Bible to push a political debate in whatever direction, they are full of shit.
I'd argue this is a major distinction between Christianity and Islam, which according to my limited knowledge promotes an ideal social organization (sharia law, etc).