They got deported under Ramses II. Greatest Pharaoh. Their expulsion caused chaos to the Hittite empire and they collapsed. It is very likely that the Hittite empire fell 40 years after the Exodus. That is why Joshua was able to destroy all those Canaanite cities. The Bible even mentions fighting Hittite remnants around this time. But as a scattered ethnic group living all over the place. Not a big empire that was a threat to Egypt. The Hittites historically made a treaty with Ramses II then their empire collapsed a few decades later.
Jews destroy countries like clockwork. It was a one, two punch of Egyptians and wandering Jews.
