
What do you believe happened during the visit of Alexander the Great to Jerusalem? Some say that he was appeased when the priests of the time came dressed in white to try and appease his known war-like tendencies, others think that something else happened. Here is one opinion:
Most scholars agree that the following story, told by the Jewish historian Flavius Josephus in his Jewish antiquities 11.317-345, is not true. One argument is that Alexander is shown a book that was not yet written. Another argument is that the story is a bit too good to be true: the Samarians, the eternal rivals of the Jews, blacken the Jews and get permission to build a temple of their own, Alexander visits Jerusalem, understands that he owes everything to the God of the Jews, allows them the privilege to live according to their ancestral customs and behaves rather unkind towards the Samarians. If a Jew in the second century BCE were to invent a story, he would write something along these lines.
Ref. https://www.livius.org/aj-al/alexander/alexander_t35.html
Since there is no real way to know what happened, I have a speculation. Based on what he did with other countries he conquered, they where given a choice. They could live peacefully under his rule, or fight and die. The would have chosen life because they had lived under worse. I don't think anything spectacular really happened. The whole of the Jewish nation didnt put up to much of a fight against Rome because they knew what the outcome would be. The same was most likely the case with Alexander the Great.