First off, you can't kill everybody. War has its purpose, but let us keep the goal in mind: defeating the islamo-fascists and securing the United States.
Suppose Iran and China develop strong trade relations. China needs the United States as an export market. Iran needs China as a reliable customer for its oil and gas. If they engage in mutually beneficial trade the standard of living in both countries improves. This alone gives both peoples a greater stake in a peaceful world. Just take China by itself. The "capitalization" of China has moderated the whacko Maoists who run the place. The very same thing may well happen in Iran.
Look. There are many possible outcomes. The Chinese and the Iranians may well be conspiring to rule the world through nuclear intimidation and terrorism. But the consequences of this for both nations would be obvious and it would not mean peace and prosperity.
On another level, whack-job Islamist nutballs and Chinese Communists are not going to be natural allies. Especially if they both are driven by competing visions of world hegemony. Let's wait and see how this plays out.
plus also the Iranis and Chinese forget that to get Iran's oil to China they got to pass by India, and you can bet the Indian navy will have each one of those convoys in it's sites ready to blast away if China tries anything funny on India's northern borders
You sound like you work for the state dept.