I can only talk about the Kurdish part of your question. Drawing from Dr. Uğur Ümit Üngör work on the motives of some of the Kurdish tribes during the Armenian genocide and other works on Kurds by Anthropologists like M Bruinessen.

Kurdish Nationalism at that time was still in a very young stage and mostly confined to an educated class of Urbanites (like we see during the Xoybun era) and some Sheikhs (religious rulers, like Sheikh Ubeydullah, who actually had good relations with the Christians). The Ottoman empire did not have the same ethno-nationalist doctrine that the later Turkish Republic would have. As such nationalism did not play a very large role in the mindset of Kurdish tribal chieftains or the population at large. There was no single unified Kurdish entity and de-facto autonomous emirates like the Baban and Soran emirates had lost their power during the Tanzimat reforms and pushes for centralization before that.

Arguably the father of Kurdish nationalism (although how nationalistic his intentions were is a contested topic), Sheikh Ubeydullah did foresee exactly what you're asking and argued for caution during one of his speeches: "If until now the Sublime Porte has supported the Kurds in every way, it is done because of the desire to counter its Christian elements in Anatolia; and if the Armenians are eliminated here, the Kurds will lose their importance for the Turkish government." Note that ''Sublime Porte'' refers to the Ottoman Empire. At the very same time the trigger to action for Kurdish nationalism was to some extent a reactionary force to Assyrian and Armenian nationalism supported by European powers which threatened a future Kurdish state.

The main Kurdish perpetrators during the genocide were the so called Hamidiye regiments, these were irregulars drafted from tribes that were deemed loyal to the Ottoman government and were tasked with defending eastern Anatolia from Russian invasion and in general keep the Christians in check. In other cases Kurdish tribes would opportunistically target refugee columns without much political or even religious motive. Other tribes would provide safe havens to Christians under threat of Ottoman punishment.

So to conclude: the Kurds did not have a unified entity, the Kurdish 'collaborators' to the genocide were either already loyal to the Ottoman Empire which did not have the same ethno-nationalist undertones that would later mark the Turkish Republic or did so out of pure opportunism without sophisticated political motives. Nationalism was not a popular movement with the Kurdish population at this time and those who did adhere to it definitely did see the looming threat overhead and disagreed with the genocidal policies.