What's the noun for Hellenises? Here's the word you're looking for.
Hellenism
Any of the characteristics of ancient Greek culture, civilization, principles and ideals, including humanism, reason, the pursuit of knowledge and the arts, moderation and civic responsibility.
The culture and civilization of the Hellenistic period.
The admiration for and adoption of ancient Greek culture, ideas and civilization.
“At nineteenth-century Oxford, as is well known, liberal university reformers mobilized under the banner of a secular Hellenism.”
“The possibility of building such a world was precisely what Hellenism denied, and precisely what we affirm when we take God seriously.”
“They had a shared sense of Hellenism and a common religion and language and often aligned themselves with native Greek concerns.”
Hellenisation
(British spelling) The adoption of Greek manners and culture
(British spelling) The act of causing a culture to become Greek
(British spelling) The act of Hellenizing, making something Greek or Hellenistic in form or character, (cf. Latinize) such as by coining a word with Greek roots to express a concept that otherwise might be expressed in modern vernacular
Hellenist
A specialist in the study of Greeklanguage, literature, culture, or history, or an admirer of the Greek culture and civilization.
A person who adopted the Greek customs, language and culture during the Hellenistic period, especially a Hellenized Jew.