Erol,
I find your insistence in calling Turkish Cypriots a People no less disturbing than Piratis' insistence in calling Turkish Cypriots a minority.
I understand you are doing this defensively, but I am not sure if that is a good enough reason. In fact, I think this is exactly the kind of logic that got us where we are now: "Greek Cypriots are making extreme demands, so let's make some extreme demands of our own".
If you wish to counter extreme demands, you should do it by being the voice of moderation. Then everyone will listen to you and respect you.
Now, if you were indeed a separate people, I would personally insist that you get your own state - because you would indeed have the right to self-determination. However, my "truth" that you - and us - are just separate communities, is not just an artificial construct, it is the historical reality. We grew together over generations in the same towns and villages, we have many of the same customs and the same manners, we have suffered together through the vicissitudes of history - and yet, our language, religion, and part of our historical experience is different. And that is what defines us as communities within a people.
Which brings us to the critical question: What rights do communities have? Essentially, they have the right to preserve their identity and their self-awareness as a community. That was the whole point of agreeing to a Federation, that under the same roof we could each have a place where our culture and identity would remain strong and intact.
Now, if you try to go one step further, and say that you do not just have the right to preserve your identity, but you also have the right to self-determination, then a Federal Solution is no longer appropriate: It would constrain your freedom, and you would be seeking ways to escape from it until you achieve full independence. You would be asking for more and more powers to be given to the constituent states, so that you have "self-determination", and then the State will only be a Federation in name, a meaningless and bothersome binding together of two people who should have been free from each other in the first place.
So, what I ask of you is not to be converted to the "one people hypothesis", but rather to make up your mind which side you are on and to then be consistent: Do you believe we are one people in two communities who deserve to co-exist in the framework of a bizonal-bicommunal Federation, or do you instead believe that we are two different people who deserve to live in two separate states, as good friends and neighbors but otherwise independent of each other?
Whatever position you choose we will still be friends, and in that spirit of friendship I bid you goodnight.