dave_thunder  ;  you are right , the Kurds beating back ISIS does not entitle them to territory outside of their provinces as per constitution .  Kirkirk being the prime example , 40 % of Iraq's oil does not belong to them but to the sovereign nation of Iraq.
The Kurds are trying to create a new nation out of parts of those countries , Syria , Iraq , Iran, and Turkey .  Those nations do not want to see more war after ISIS falls (within a month) .
An error in the article , is that the PMU (Peoples Military Units) , are a part of the Iraqi Army , some are Shia , Christian, Sunni , Assyrian etc.   
US oil companies have bet on the KRG , as opposed to the KMU, but Canada has no need to be involved in a Kurdish civil war , or be the enforcement arm of US oil companies .