Here is history that we do actually know, solidly:
Ahmose I became pharaoh of Thebes, a land subservient to Hyksos-ruled Lower Egypt. The Hyksos had come from the east some uncertain amount of time (at least a century) earlier, and by the time of Ahmose were oppressing every other ethnic group in the area. They were also polytheistic, just as pretty much everybody else at that time was; at Avaris they had a great big temple dedicated to Set (and Egyptian god whom they adopted), for example.
Thebes started skirmishing with the Hyksos during the reign of Ahmose’s father at the latest. When his father died, Ahmose and his brother Khamose took up the fight. Ahmose ended up becoming pharaoh in the early 16th Century BCE, and he successfully besieged Avaris (Khamose had tried and failed previously). Ahmose defeated the Hyksos and chased them out of Egypt by force of arms. He then followed them to make sure that they kept running, fighting several battles with them all the way well into Syria. Obviously, the Biblical Exodus doesn’t include Moses being chased by Pharaoh all the way to the Euphrates.
Ahmose started rebuilding Egypt and its empire, and his successors continued the job. A stash of hundreds of official letters from various parts of the Egyptian empire, dating from the 14th Century BCE, show that there was no sudden influx of newcomers showing up in Canaan and taking over. Archaeological digs all through the region also show that everything in the area just continued the same as normal. It isn’t until the 13th Century BCE that there are signs of a new group moving in; this is part of the reason why many Biblical scholars think that the 13th Century BCE is the date when the Israelites arrived in Canaan. The date also matches the first ever records of a group or a people called the Israelites. The date also matches some Biblical information that Jacobovici ignored, Exodus 1:11. In that verse, it is mentioned that the Israelites build the cities of Pithom and Ramses. . .and we know that the city Ramses (Pi-Ramesses Aa-nakhtu) was built on the ruins of Avaris, many generations after the Hyksos Expulsion. The Israelites built the city that was built long after the Israelites left? Not likely, unless the ancient Egyptians had time machines (hmm. . .perhaps the movie Stargate was more true than we realise?).
So there is literally no evidence that links the Hyksos Expulsion to being the Exodus, and there is much evidence that the two events are different. Most evidence about the Exodus dates it to several centuries later.
There is a theory that, while the departure of the Hyksos and the departure of the Israelites are totally unrelated, the arrival of the Hyksos in Egypt and the arrival of the Israelites are connected. Nobody really has any clear idea of how the Hyksos arrived. Some people think that it may have been as a conquering horde. Others think that they arrived as a gradual migration and simply supplanted the Egyptians by numbers. If the latter, then it’s not too far-fetched to supposed that other Semitic people might have sort of followed on their coat-tails. If the Hyksos migrated to Egypt to get away from some problem in their old homeland (such as a famine), then why wouldn’t other groups who also were facing the same or similar problems follow them?
That connection is all entirely conjecture, of course. But it is possible, and there isn’t any evidence to argue against it. Unlike with many of Jacobovici’s ideas.