PKK are our allies - yes? Turkey is our Allie and a NATO member. Why we don't tell Turkey to chill is beyond me....
No.
Russia is resurgent, the Turks are busy killing the Kurds that we're ostensibly friendly with....
The Turks are fighting against the PKK, which is only one of the many Kurdish parties/groups/factions in the region. The PKK is a Turkey-based group with a 'unique' political 'philosophy' that was originally communist and now some sort of libertarian-socialist mishmash.
We also happen to have designated them a terrorist group, rightfully so.
While many folks lump the Kurds into one big group they are split by country borders, with significant populations in Turkey, Iran, Iraq and Syria, but they are also split by political beliefs, family and tribal ties. There are two main Kurdish parties in Iraq and while they have varying levels of ties to Kurdish groups in other countries they are completely independent entities, as are Kurdish groups in Syria and Turkey. And they are not all one big happy family either, the two Kurdish parties in Iraq (the KDP and PUK) have fought each other several times, not rhetorically either, and one even temporarily allied themselves with Saddam to go after the other group.
So we are 'friends' of the Kurds but not all of them, especially the terrorist ones.