Faith cannot be rational, but this does not matter. Many things inherent in and/or vital to the human experience cannot be rational. If faith is to be simply dismissed, you need a better reason for doing so than "lack of rationality".
I do not think this will be a popular post, but still I will try to articulate my disagreement in a readable manner.
People seem to confuse 'rationality' with 'scientifically verifiable' or at least 'based on scientific data'. Maybe this comes from the vantage point that beliefs and opinions not based in science are not rational.
From the standpoint of a logician, I disagree.
Can faith be scientifically tested, proven, or known without doubt: no. But I do not see how that precludes it from being rational. In general, many faiths and forms of belief are exceptionally rational if you accept their base assumptions.
Now that's a big IF. If you do not accept the basic assumptions of the specific faith, it will be forever in your mind 'irrational'. So can faith as a consensus be rational: no, not ever. Can faith be almost perfectly rational from a logic standpoint: absolutely, as long as you accept the base assumptions.
For what it's worth, the base assumption of the (materialist) atheist worldview is that the natural world is a closed system (i.e. no supernatural), from which it follows that science can (at least in theory) describe all of reality. This is a very lightweight assumption, and an easy one to make, but I would point out that it is also not scientifically verifiable, as all scientific data has to be interpreted as being the result of some natural law.
Fun, beauty, love, etc. are irrational and vital to the human experience. However, they're purely emotional. Basically, they provide the goals which our rational faculties seek to fulfill.
Faith goes beyond this, because it ultimately says, "I believe that this is true." The others are simply "I enjoy this" or "I am compelled to do this" or "this satisfies me", but faith is different because it's fundamentally making an objective claim. And there is every reason to reject that due to irrationality, even if you accept these other things.