You say we shouldn't give any rights to Kurdish citizens such as their own tv channels, being taught Kurdish in primary school and University. And you are talking about "imperial support". If you had the slightest idea about politics and society making you would understand that granting equal rights to each and everyone in the state is the way forward in modern statemaking, how should i know it tight? I only study political science at the University.
You want to alienate and discriminate about 10 million people in Turkey and want to rule over them with iron fist, any person with an ounce of intelligence would understand that discrimination leads to conflict and problems. And to the question why there still are Kurds who want to fight against the state.
1: In the past the Turkish military has done cruel mistakes in the east and murdered a lot of civilians. This has implemented hatred in their hearts and we still experience the consequences of these actions.
2: Kurds has always been looked down on in Turkey and seen as 2. rank citizens. Kurdish was illegal, even singers who sang Kurdish were seen as traitors just because they sang in their own language.
3: No socio-economic development and very low education level has led to extremity in the east. Trust me it is easier to cheat people who are uneducated and poor, than cheating people who has education and a specific level of economic prosperity.
Conclusion: So yes, this problem is deep and happened as consequence of bad governance. Therefore the way forward is openness and transparency. We need to grant Kurds rights (which is happening, we need to further education in the east, we need to integrate Kurds into the society, we need to raise the level of economic and societal prosperity. And remember war and conflict begets war and conflict, hatred begets hatred.