I imagine that there would be overthrows of the various monarchies in Egypt, Libya, Jordan, and Saudi Arabia. American support was critical for the Egyptian Monarchy surviving after ww2, Farouk was a terrible king but his alliance with America allowed him to hold onto power. If it was the soviets then I can see them loosing power quickly. As to what takes after them is hard to say. It could be a military dictatorship, soviet style socialist government of some sort, Radical Muslims or something else entirely.
On the plus side US media would not be so fascinated with the life of the arab monarchies, particularly the Egyptian Monarchy. When the crown prince of Egypt Muhammad Ali married Princess Noal Zaher Shah of Afghanistan, the US Media could not stop talking about the royal wedding.