"You are entitled to your beliefs, no matter how foolish. I'm not suggesting that religion should be banned; I'm just suggesting that any rational person will not have one." - Western woods

Billions of people prove every day that you can be both rational and have a religious faith. They do so by acting reasonably, predictably and congruently with the world around them. 

Some of the most admired minds in history held religious beliefs. Some even wrote treatises on rationality and logic that are still taught today. 

Rationality doesn't preclude religious faith, nor vice versa. The basis of religious faith is born in the ability of humans to think abstractly, as well as rationally. It's our ability to think abstractly that separates humans from machines and simpler forms of life.