Why did god allow people to be born after the fall ?

[possibletarian]

It takes a highly indoctrinated and/or highly illogical mind to believe in a god.

And that says it all, personally I would go for indoctrinated, you highlight a problem with logic though if we are taught that it is indeed logical to conclude a god from what we see around us, then that's how we believe logic works.

So logic with indoctrination (subjective logic) leads to that ludicrous philosophical arguments we hear that theists say point to a god, logic is not the independent methodology we sometimes believe it to be. That is why science is the best way to discern what is and is not real, it simply cannot be fooled in the same way, and even when wrong can be corrected without loosing validity of the method.