In respect to regaining the Kurdish Homeland, ISIS / DA’ESH was a gift from heaven as the Kurds are now controlling everything what is rightfully theirs and what the Arabs would never ever have given them. The main reason why the disputed territory question was never resolved is:
The Arabs, the Assyrians and the Turkomans are utterly terrified by the idea to belong to Kurdistan. They fear the Kurds would discriminate against them (which is not so off if you consider that the KDP-part of Iraqi Kurdistan failed to properly protect the Christians, Yezidis and other religious minorities when the Islamic State attacked Kurdistan).
Now that most of the disputed territories are in Kurdish hands, the Kurds are in a much better negotiating position. In the meantime the Iraqi Kurds need to show that the actually mean when they say they are the natural protector of ethno- & religious minorities.
In this respect the Iraqi Kurds can learn from Rojava (Syrian Kurdistan) how to govern the newly conquered Disputed Territories, as PYD leaders have worked to create a system of inclusion that works to preserve the diversity of Syrian Kurdistan and maintain a spirit of tolerance in Rojava and Syria. This is why the PYD has reached out to the Arab, Armenian, Assyrian, and Turkoman communities of Syrian Kurdistan to also represent their interests and to be their movement too.
This is a deffinitely interesting answer… worth reading, in my opinion.
This said, with all the limitations and reserves that prudence advices… I wish some day they have their place to live in safety and prosperity, same as every other people.