Morality is definitely rational.
Morality is a set of attitudes and behaviors that faciltate voluntary, cooperative, and mutally beneficial relationships.
To figure out what is moral apply jesus' golden rule, which comes to us from a religious tradition, but the rule calls for the individual to use empathy, imagination, and personal judgement, and is ultimately rational.
if jesus told you to be rational would rationality be religious dogma?
no, it just means that's a good religion.
rationality is not morality in and of itself. one could very easily rationalize lying to and poisoning all of humanity, if one possesses a 'might makes right' darwinian / evil outlook, like big pharma nazis do.
Morality is more that rationality. it is rationality plus wanting coexistence and peace, and presuming acceptance.
all the worlds relgions possess basic moral truths and practice them within the community.
they all have their focuses, peculiarities, and different outlook on relations with "other". some are less peaceful than others.
the "turn the other cheek" /golden rule ethos of christianity and appeal to the heart instead of coercion does make christianity well suited to multicultural contexts we live in now. some are too stabby and beheady and need reforming, though some parties like stabby and beheady due to posessing genocidal ideologies. these are false moralities and seek to cover human on human predation with a patina of thin/bad logic.
i know, "the crusades" etc, but the roman papal cult is not a great version of christianity.
i think the amish have it right and are basically the perfect people, though of course, we all are flawed and falled, life being a constant battle to love perfect a perfect love in a fallen world.
and oh yeah. The catholic church invented islam.