Of course they lie. They think the Muslims around the world are as collusory as the American MSM is for them. They are horribly mistaken. You will see sh!t hit the fan, like in Pakistan or wherever, where they cannot control the dialogue, and they State Department/Administration/MSM Kabuki theatre will fall apart.
Your are correct about the pakis. The pakis have weapons iran wants. In spite of these adversaries not looking to help one another, iran could be talking with the pakis. Think we have troubles now? What if they are talking to one another? This could be where the spark ignites. If it comes, it will have been preordained. Remember how ruthless both countries are. We have been lucky to contain the pakis and iran to the point they are contained. If iran and the pakis are talking to one another, all bets are off for the middle-east to be contained.