The story about Lot and his daughters is quite complex (both before & after fleeing Sodom) and is a common one used to show how inconsistent and strange the Bible can be...in relation to what WE would think & do.

The story of Noah...and of Abraham & Isaac... and of Jonah & the whale...and of Elisha & the bears...and a dozen others... are all reasons why many, many have retreated from even trying to take the Bible as 'literal truth'. All we can do is shrug when folks inform us that they DO 'believe it as literal truth'.