Saudi Arabia has a sort of status quo relationship with Israel, being that they are the linchpins of American foreign policy in the Middle-East. They have a sort of proxy alliance in that they are both allied with the United States. There isn’t much need for Saudi Arabia to make peace with Israel. They speak platitudes about hating Israel for the masses, and then step in line with the big money corporate interests that concern their western patronage.
Iran as a regional power is extremely overrated. They have one natural resource, which they lack the capacity to refine adequately themselves. Other than that, Iran’s economy is entirely dependent upon it’s being a central trade route, and the complicated oil shipping deals that get oil between China, Russia, and India.
Iran has a fancy military comparatively to it’s neighbors other than Pakistan which gets a lot of weapons from the US, but that weaponry could be taken out within a week by the two US carrier fleets that are sitting off of its coast, and if need be the third one off the coast of Africa that could get there within a couple of days, and probably can strike Iran as it is. Of course Iran wants power over the Shia population worldwide, of course they would, they are the ‘true’ Islam descended from the prophet Muhammed himself, peace be unto him.
They significantly lack the resources to be a serious threat. Using proxy militias in other states is about the best they can do.
Ambassadors from Egypt and Jordan don’t really mean much, but then again, neither does the ‘Arab League’. I don’t think Egypt and Jordan are particularly terrified by Iran. Certainly the KSA has a religious interest in containing Shia power, as it wants to maintain its position as the seat of Islam in the world. The KSA, in theory would like to see the third holiest city in Islam come under Arab control. They would also like to see Arabs remain dominant over Persians, but I think Iran is fairly well contained.
Iran is extremely weak. It doesn’t have very much juice to really pursue any imperial ambitions, and it is not that difficult to contain their imperial ambitions as long as the United States has a gun to its head. The strongest cards that Iran has are Russia and China who want to see Iran continue to function that their economic interests there may be protected. China gets a lot of its oil and natural gas from Iran, and Russia sends a lot of it through Iranian pipelines to various countries around Iran. Iran is also a big consumer of both country’s weapons.
Due to ‘Axis of Evil’ propaganda, we’ve seriously inflated the cards that Iran is holding. Everyone is interested in containing Iran, but Iran is not a serious threat. The most serious threat of any Muslim country is Pakistan, which has nukes, shelters Al Qaeda, and AQ Khan.