It is all relative, but Kurds are probably less anti-Western than many other groups in the region.
This is despite the fact that their hopes and dreams for a sovereign Kurdish nation (Kurds are divided between Iraq, Syria, Turkey and Iran and not treated very well in any of them by the official regimes of those countries nor by ISIS) have been rebuffed by the West.
It is also despite the fact that their movement is considered a terrorist insurgency with little or no political clout in Turkey (which is a part of the Western coalition despite not being fully "Western" itself) where many Kurds live.
Both of these factors would give Kurds reason to bear ill will towards the West, but the Kurds seem to bear less ill will towards the Western coalition, which they are a part of, than other communities of people in the region. If anything, they have shown more commitment to the Western coalition's cause than its Western members have in recent years.
Kurds speak an Indo-European language (as do most people in Western countries), while all other groups in the region speak Turkish or a Semitic language. This doesn't necessarily mean much but is suggestive of stronger deep cultural connections to the West than other communities in the region.
Kurds are Muslims (formally, mostly Shiites, mostly in a Shiite sect, the Alevi, that retains some residual Central Asian and Persian cultural influences arguably dating back to pagan days), that interpret the Islamic tradition differently than many Arab Muslims. Their interpretation of Islam, in particular and among other distinctive aspects, gives a higher priority to gender equality than most other Islamic religious communities in the region. Generally speaking, compared to other Muslims in the region, Kurds are "socially moderate" (which is not to say that they would not be considered "socially conservative" by Western standards) even compared to a neighboring Muslim community (non-Kurdish Turkish Muslims) that is itself one of the least conservative Muslim communities in the region.
The Kurdish autonomous region in Iraq is one of the most democratic governments in the Middle East, or for that matter, in any Islamic country. You'd have to go to Kosovo or the recent experience of Indonesia, to find a close rival for the quality of their democratic institutions (which is not to say that those institutions always live up to Western developed country standards for democratic systems), and they aren't known for oppressive economic policies either.
Kurds have been Western allies in the Iraq War and the war against ISIS.
Kurdish military groups have put their lives and resources on the line to protect non-Kurdish ethnic minorities in Northern Iraq and in ISIS controlled Syria, despite the overall tendency of factions in the region to care only about themselves.
I suspect that few Kurds would single out Australia from other parts of the Western coalition for more or less hostility than other members of the coalition. I am aware of no substantive reason that Australians would be singled out for disdain by Kurds from other members of the Western coalition in the region.
While this is purely speculation on my part, I suspect that they probably view Australians, if they have an opinion about them at all, mostly as Englishmen with more of a clue about how to live in their arid region than the real Englishmen do.