No doubt that Egypt has been a force throughout the ancient history of the near east: and, since at various time the Israelites were either controlled or conquered by the Egyptians, the influence was there. But I think it has been more of backward influence than a forward one: by this I mean that the Jewish writings took the Egyptians that they were familiar with and then worked them BACKWARDS into a "history" of the early Israelites. William Dever and Israel Finkelstein pretty much cinched that the Israellites were never in Egypt, that the exodus mever happened, and that they are in fact indiginous Canaanites