Celibacy was introduced by the Catholic church as a cost-cutting measure. It was too expensive to maintain a parish priest, his wife and family. So you can say that the doctrine of the church was definitely influenced by the economy. I don't think that Catholicism is simply Capitalist. The Vatican seems to support the flavour of the day but leans towards Facism.

Protestant churches definitely support Captitalism and vice-versa. In fact, if you look at how your Sunday offering is invested, it might surprise you.