I don't think rejection of religion automatically implies "reason" or "materialism". It may, but not necessarily. One could be quite spiritual (and unreasonable for that matter!) and not be at all religious.
As an example, of course the extreme also holds where one rejects all science, reason, logic, religion, and spirituality among other things. What is then left is basically an animal who may choose purely to pursue his sensuality and immediate happiness (greed). I think we've all seen people like this too in our lives in different shapes and forms.