I am not sure why a religion making sense would have any relationship with it being correct. Physics for example involves some very non intuitive things that are verifiable.
Suggesting you can intuit the non verifiable parts of existence seems like hubris in that context.
intuition is not needed. if the point of religion is to solve social problems, take a look and check if the religion in question does solve social problems.
does prayer or meditation make you feel better?
do the laws proposed help you interact better with others?
all these things can be verified.
you need to look at what each religion claims, and what the outcome in that religious community is.
religion is supposed to help with self improvement and help people live together, build a community. what else is there? if religion does not achieve that, then what's the point?
humanity should continuously improve our society. globally.
we progress scientifically, and we should (and do) progress socially. the latter is the purpose of religion. every religion, when introduced, has induced social progress. if a religion is no longer serving that function, then it's time to move on.
Suggesting you can intuit the non verifiable parts of existence seems like hubris in that context.