Depending on the PoD, you might mean henotheism rather than polytheism. The latter is a lot further back - we have to assume it, basically, because the first useful texts surface when the henotheistic Canaanite nations were already well-established as such. So it would take a lot of guesswork, and probably some heavy butterfly netting to get “Judaism,” “Israel”, and “Hebrews” that we would even recognise at all. The Bronze Age in Canaan is far darker than the Iron Age.
Henotheism is much easier to imagine, albeit not the sort that we see in the Bible and e.g. the Meshe Stele - where each of the Canaanite nations had their own god, Chemosh to the Moabites, Yahweh to the Israelites - because the region of Canaan itself was probably going to consolidate politically during the higher Iron Age anyway. So if, as in OTL, the Israelites get the upper hand and assimilate the surrounding regions (whether or not they imagine themselves not to be aboriginal “Canaanites” in the first place - I wonder whether the myth of Moses would have arisen in this scenario), their religion is going to be contrasted with those of Egypt and Mesopotamia, and maybe later those of Europe, rather than those of various petty kingdoms. It could still be a henotheism, but a different one to what we find hinted at in some of the older parts of the Bible (e.g. Deuteronomy 32:8-9) - which would probably appear more monotheistic, since it’s opposed to entirely foreign religious systems rather than the particular patron deities of sister nations. IMHO it wouldn’t look very different, even, to what Judaism was like OTL during the Persian, Greek, and earlier Roman periods, outside of the periodic waves of reformation. If the Jews are serious about their henotheism, they aren’t going to let the *Romans, or any foreign conqueror, put their gods into their temples or change their sacrificial rites - so how does that differ from monotheism, really?
I think once you’ve established the national deity system of Canaan in the early Iron Age, there’s no way back from monotheism without actually replacing that system. The later Iron Age brought empires, and empires like two things: taxes, and public displays of loyalty from the upper classes. To maintain their exclusive worship of Jehovah, the Jews are going to have to repudiate the worship of all gods but Jehovah; saying “Amun and Apollo are all very well for the Egyptians and the Greeks, but I’m a Jew, and we Jews have our own god” isn’t very different from what actually happened OTL. The Maccabean revolt was a national revolt with religious implications, not a religious revolt with national implications (like you might get with Christianity and Islam many centuries later). The division between henotheism and monotheism breaks down here.
That isn’t to say Judaism couldn’t have been very different. Preventing the Exile, or the Persian resettlement, or many other PoDs, would have a huge impact on Jewish self-consciousness in ways that are hard to determine. But I don’t think preventing “monotheism” would be one of them.
If you do manage it, though - however you define it - you really can’t speak of the Abrahamic religions at that point. Christianity is inconceivable without a very specific situation in first-century Roman Judea, and the personal lives of fourteen very special people within it; Islam has its own remarkable story, and is inconceivable without Christianity to boot. If you get offshoots to *Judaism ITTL, whatever they are, they won’t be anything like Christianity or Islam any more than Orpheus is “like” Jesus. At that point, you’re 600 - 1200 years beyond the PoD, and the Middle East is pretty much unrecognisable.