I don't believe Josephus claimed the Trojans were Jewish. He did claim that the shepherd-kings (Hyksos) were the Israelites, which isn't correct.
16. This is Manetho's account. And evident it is from the number of years by him set down belonging to this interval, if they be summed up together, that these shepherds, as they are here called, who were no other than our forefathers, were delivered out of Egypt; and came thence, and inhabited this country, three hundred ninety and three years before Danaus came to Argos. Although the Argives look upon him as their most ancient King. Manetho therefore bears this testimony to two points of the greatest consequence to our purpose: and those from the Egyptian records themselves. In the first place, that we came out of another country into Egypt: and that withal our deliverance out of it was so ancient in time, as to have preceded the siege of Troy almost a thousand years. But then, as to those things which Manetho adds, not from the Egyptian records; but, as he confesses himself, from some stories of an uncertain original, I will disprove them hereafter particularly, and shall demonstrate that they are no better than incredible fables.
I don't think Diodorus said there were three separate instances of Israelite Exodus from Egypt.
“I don’t think Diodorus said there were three separate instances of Israelite Exodus from Egypt.”
You must have an extraordinary fascination for what you don’t think or don’t believe.
Josephus straight out said the Trojans were Jews in his writings which sort of ratifies what Diodorus wrote. They were not alone in their contention.