I don’t think you understand geopolitics in that part of the world. Shia dominated Iran has very little influence on Sunni Pakistan. As far as I can recall, Pakistan always had their entire existence centred around anti-India perspective, the war they fought with India over Kashmir in 65 and then over Bangladesh in 71 predates the shah movement. Soms of their most fanatic military leaders were actually before the 71 war.

Every country plays games but not in a self destructive manner. If Pakistani leadership had any sense and if their people were not always fooled by thinking that their leaders are leading a jihad and protecting Islam, they would have realized focusing your entire foreign and economic policy based on the geopolitical rivalry over a piece of land that has less than 1% of total GDP is not a good cause.

Just wait till they have a balance of payment problem. Their reserves are drying up too all because of these stupid economic policies. Instead of doing trade deals with your closest neighbour and one of the largest economic powers, they actively sabotage any economic influence. These people are really stupid.