...If you believe in god, that's an irrational thought...
There is no conflict between logic and reason, theoretical or applied, and the existence of God, if one grasps the limitations of logic, reason and faith.
...And if you don't really believe the Adam and Eve story is factual, and don't really believe the Noah story happened, then why would you believe Jesus was born by a virgin, performed miracles and rose from the dead after a few days of being dead?...
Because for Creation and The Flood, we're talking about macro-level issues borne-out or disproven by scientific evidence, whereas the Jesus issues dwell on the micro-level and pertain more to individual spirituality, in which logic and reason are next-to-useless?
...And if all those stories are just made up to teach you right and wrong, then so was god. Sorry to break it to you.
And if those stories are actually a mix and match of macro- and micro-level issues, and if some are false and some are true or un-knowable, what then?
The nice thing about Matters of Faith is that skilled Believers can always utilize Logic and Reason to continue to move the goal-posts on you, so that you will never reach the point where the godhead does not exist.
Unfair? Maybe. But it's the price you pay for being in the minority, on
a planet where most of the inhabitants are spiritual and/or religious, to some extent or another.