How Would Judaism Being Monolatric Affect Later Developments?

Such as the development of Christianity (if it arises)? Would Christianity keep the "Old" Testament? Would there be an Old Testament (as we know it)? There's the potential differences in Islam as well. If no Islam, then any "Crusade"-like activities would likely be against the Jews.

That's for starters, what other potential differences might there be?
 
It was at the beginning. If the Lord claims to be the God of Abraham, Isaac and Jacob, it impkies that other houses had other patron deities
 
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