If China can build good relations with India, Turkey can do as well. Besides, however imperfect it is, we're still a democracy. A different political party could throw Pakistan under the bus. Plus our engine situation, we might not be as reliable of an ally you think we are.
I don't think hundred year alliences can be put away that easy.
I don't really know to be honest, did we ever have bad relationships with Pakistan since the Republic was found ? I mean both countries have been ruled by parties with very different opinions in the last 102 years. We were allies before the foundation of the republic tho. But I don't remember bad days between the two.
I always put so much belief in secret agreements. Those agreements are why the US can never turn back on Israel. Diaspora ? Dude US population's almost 50% is built of German/British/Irish people. Idc about 7 million jews there.
I think the same for us and Pakistan too. Current government of Pakistan was not who our government wished for and they move in the way our government don't like (conflicts with Afghanistan for example). But did we spit a single word to them ? Did the cooperation between the two countries slow down any ?
This allience has most likely been guarranteed by secret agreements decades ago and it's surpassing democracy.
All are just ideas. Not claiming anything.