I think there are many things wrong with your question, which is riddled with false perceptions, which would make answering your question sort of difficult.

Being pro-American does not equal to being "Western". Saudi Arabia and many of the Gulf states are pro-American, with the population mostly having a positive outlook on the US and many European countries, but they are not as culturally influenced by the West, and whatever "Western" in these countries is largely driven by a capitalist/free market economic system.

Likewise, this idea that other states around what is Kurdistan being less Western is very misleading. Iraq under Saddam Hussein, Syria, Lebanon, Jordan, Egypt, Turkey, and even the Palestinians prior to the 1980s were/are very much Westernized

You're also assuming that chaos and turbulence means that any place will be far more anti-Western, whereas this is hardly the case from a historical perspective. Many of the Arab states maintained their secularist and Westernized attitudes throughout several conflicts, including the many wars with Israel.

Finally, your perception that the Kurds in general are pro-West in their culture. Most of the leading Kurdish political parties are heavily influenced by Marxist/Socialist ideologies, and even then, the Kurds are not a monolith in the political and religious sense in any way.