The Greeks brought in something the Jewish Nation had never had to deal with: a new philosophy. Until then, all nations essentially agree that they needed a god to worship (and please) and established a liturgy around this worship. The Greeks, however, did not care who/what was worshiped. But they did have a reverence for their bodies (thus installing a gymnasium at the site of the temple). The Jewish leaders did not know how to deal with this indifference - or new philosophy. In the end Maccabeus staged a revolt which ended the question - at least for the time being.
We are now dealing with indifference and new philosophies - and having just a much trouble with it as they did back then.
To expand your comment that the ‘Greeks brought something new to the Jewish Nation’, how does the Gospel of Thomas (part of the Gnostic Gospels) circa 60 BC to 100 AD, fit in with this discussion of the interstitial period between strict pagan Hellenism 400 BC to Christianity approx 250 AD.