The are multiple Kurdish factions on all sides of all borders. The don't always get along, either with each other or with Turkey. I also believe that there is a multitude of views towards the Assad regime.
AFAIK they all fight ISIS though.
The talk was in NPR, you can search "Henry Barky NPR Kurds".
There's always been tension between Kurdish nationalist factions and they even had a brief civil war[1] between Iraqi Kurds in the 90s (Talabani vs Barzani) and there's rivalry between the Peshmerga and the PKK esp. in the area where the Peshmerga deems its territories in Iraq where some PKK members challenge their authority there but despite all of this, some Kurdish nationalist love to portray the conflict between Turkey and the Kurds as an ethnic and not a political one as it garners more support and sympathy for their cause and make Turkey look like the bad guy in this conflict.
That's one aspect I find very confusing - Turkish attitudes towards ISIS aren't exactly hardline (eg frequent reports of ISIS supply routes over the Turkish border), and so it isn't clear to me what terror attacks by ISIS in Turkey would gain.
Except terror of course - that's always a thing. And I also understand that ISIS command and control isn't exactly centralised, so it could be random people somewhat aligned.
Another alternative is that they are more tactical in nature - maybe Turkey closes a border route, so ISIS bombs Ankara? I don't know enough to know if this makes sense.
Either way.. confusing.
The Turkish state seems to have only a problem with the militant Kurds in Turkey and Syria but not the ones in Iraq as it seems that they get along very well and the Kurds in Iraq even allow Turkish forces to launch airstrikes in the region of Iraqi Kurdistan and for their troops to hunt down PKK members over there with the help of Peshmerga, the de facto Kurdish armed forces in Northern Iraq.
So, saying that the Turks are at complete odds with Kurdish militias all over the region is not entirely correct.