From Wikipedia:
"The Arab Federation of Iraq and Jordan was a short-lived country that was formed in 1958 from the union of Iraq and Jordan. Although the name implies a federal structure, it was de facto a confederation.
The Federation was formed on 14 February 1958, when King Faisal II of Iraq and his cousin, King Hussein of Jordan, sought to unite their two Hashemite kingdoms, as a response to the formation of the United Arab Republic between Egypt and Syria. The union lasted only six months, being officially dissolved on 2 August 1958, after Faisal was deposed by a military coup on 14 July."
So what if the military coup had been thwarted and the Federation had remained together? Could they perhaps encourage the other Arab states to join? Would there be a mini-Cold War between the Federation and the UAR?