Your definition of faith mistakes faith for blind faith. Faith itself is based on reason, necessarily, at least that is the view throughout the Scriptures. You are wasting time on a straw man here. To say the two concepts of reason and faith are orthogonal is inaccurate. They go hand in hand. Or would you put yourself against giants?
"Some people, eager for money, have wandered from the faith and pierced themselves with many griefs." - Paul, in his letter to Timothy.