The problem here, from what I'm seeing, is a language barrier ... there is lot of confusion about what is rational and what is irrational.
Irrational is not only a bad word, love and beauty are irrational also, not only death and destruction .. to give you a brief idea, irrational is usually identified with the gods or the sacred.
What you need to understand first is we set the rules for rationality that these days we have all internalized and we don't even think about them anymore, we just use them.
We cannot even talk about the irrational, cause to talk we use a rational system, that is the language ..... can you see it? (that's why they use gods or inexplicable things, don't use the Lord's name in vain)
Irrationality is simply how things are, the rationality is the construct that we added, we crafted it for our own convenience.