Crazyguy: "After Alexander the Great died a Greek family called the Ptolemy’s took over Egypt and the area we call Israel today."
Just a minor correction. After Alexander's death, the west Asian section of his empire was divided between the Seleucid dynasty, based mainly in Syria and the Ptolemaic dynasty in Egypt. Control of Palestine and Jerusalem seesawed between the two rival Greek dynasties.
Is that important? Yes, because the best Jewish account that we have of opposition to the hellenising process is the semi-canonical Maccabees, which took place against a background of a time when the Seleucids were in control.
The author of a Wikipedia entry, notes: "Antiochus' aggressive Hellenizing (or de-Judaizing) activities provoked a full scale armed rebellion in Judea—the Maccabean Revolt.[31]Efforts to deal with both the Parthians and the Jews as well as retain control of the provinces at the same time proved beyond the weakened empire's power."
First Maccabees, describes some of the acculturation process: "... Some of the people eagerly went to the king (i.e Antiochus). He authorized them to observe the ordinances of the Gentiles. So they built a gymnasium in Jerusalem, according to Gentile custom, and removed the marks of circumcision, and abandoned the holy covenant. They joined with the Gentiles and sold themselves to do evil."
And second Maccabees provides more detail. Under High Priest Jason, the account tells us even priests wore Greek garb and attended the gymnasium:
Chapter 4.
Verse 10. "When Jason received the king’s approval and came into office, he immediately initiated his compatriots into the Greek way of life.He set aside the royal concessions granted to the Jews through the mediation of John, father of Eupolemus* ... he set aside the lawful practices and introduced customs contrary to the law.
With perverse delight he established a gymnasium* at the very foot of the citadel, where he induced the noblest young men to wear the Greek hat.13The craze for Hellenism and the adoption of foreign customs reached such a pitch, through the outrageous wickedness of Jason, the renegade and would-be high priest, that the priests no longer cared about the service of the altar. Disdaining the temple and neglecting the sacrifices, they hastened, at the signal for the games, to take part in the unlawful exercises at the arena. What their ancestors had regarded as honors they despised; what the Greeks esteemed as glory they prized highly."
You have to put the two texts together to see the full picture.
Young priests (and other young men of the Jewish elite) were going to the Greek gymnasium, which was also a school teaching Greek thought. In the exercises they performed they did so naked, that's why the previous text mentioned that the Jews attending attempted to "de-circumcise,**" themselves.
And that led to the Maccabean rebellion, and some 100+ years of independence. But the elite did not resist cultural Hellenisation in other fields. Greek became the main language of the Jews, and Yes! Your, main premise has at least a grain of truth in it.
** In other words, they attempted to stretch what remained of their foreskin, so that they would not stand out as circumcised. An interesting contrast in customs. Jews could not be Jewish without circumcision, thus exposing the head of their penis. The Greeks of that time, thought it shameful to expose the head of their penis. To ensure that did not happen, some would tie a ribbon around the foreskin so that it could not rise and expose the head of their penis.
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Some more interesting references for you:
https://www.haaretz.com/jewish/.premium-a-story-of-a-fallen-high-priest-1.5346565
http://www.pbs.org/wnet/need-to-know/the-daily-need/jews-who-went-to-the-gymnasium-or-the-real-history-of-hanukkah/5605/
And a very long examination of the hellenising process:
"A HISTORY OF JEWS IN GREEK GYMNASIA FROM THE HELLENISTIC PERIOD
THROUGH THE LATE ROMAN PERIOD."
https://getd.libs.uga.edu/pdfs/jordan_holly_a_200908_ma.pdf