Catholicism got authority from Christ (assuming, for the moment), and used that authority to provide teaching from two sources: (1) non-scriptural Tradition and (2) Scripture. Thus, it was improper for me to compare the bible alone to reason. Protestantism discarded Tradition, and embraced Scripture alone. Protestantism is based on the principle of every individual applying their own logic to the bible, which leads to thousands of denominations which disagree with one another; Catholicism is based on interpretation of the bible in view of the Church's Tradition and overall authority. That is what I mean by "Church Teaching"
I will let non-Catholics make their own defense.
But I do note that many of them incorporate non-scientific and disprovable principles into their faith, like young earth creationsism. That is a personal problem for them. Catholicism does not import any disprovable concepts as points of doctrine, and therefore does not contradict reason.