It would completely butterfly history. There may not even be such a thing as historiography .
Depends on how strict you are with the butterflies, but really, historiography of some sort is bound to develop. The Classical historiography didn't get any real cross-echo with the Jewish one until the Roman period of Alexandria, Ptolemaic period being the absolute earliest...and even then it didn't borrow as much as coexist.
Arguably, even the poetic staples that make the Bible etc. so attractive won't be completely lost, the Bible is just a particularly successful example of a much larger near-eastern tradition of sacred poetry.