With all the talk in the news lately about Israel threatening to attack Iran's nuclear sites and the Iranian government demanding US protection I've been wondering; how would mideast politics be different is the US had better relations with Israel and hostile relations with the rest of the mideast?
Hard to say, the main problem with a Pro-Israel USA (if it isn't already) is the lack of incentives. There's nothing Israel offers that can't be substituted whereas some middle east countries have oil, gas, and strategic locations (Suez, Hormuz strait) that can't be substituted.
Let's start at say... 1948, a bit of US support can really help out here. I suppose you can get some nice lobbying from the rich and influential Jewish-Americans. The traditional mutual expulsion of Arabs/Jews. It's more likely for Israel to gain more land, not much more than OTL without expelling densely populated areas, and if America's in it's doubtful even if large scale expulsion's possible.
Israel would have more backing for occupying the Suez canal, but while I don't see the Soviets going to war over it with the Hungarian crisis at hand I really can't see the Americans opposing the Hungarian crisis while it's supporting an Israeli offensive. I can't really see the Americans supporting the imperial ambitions of the UK, France, and Israel at the expense of international goodwill. I suppose the best that can happen is less diplomatic/financial pressure from America. The end can either be an unlikely occupation of the Suez Canal with Nasser expelled from power or OTL terms forcing Israel, France & the UK to back off.
In the case of a unlikely occupation the aggressor would suffer alot, they were already under an OTL Saudi oil embargo in sync with an OTL refusal by most neutral nations to make up for the oil deficit. France & the UK will have to opt out eventually, unless they wish to cripple their oil deficient economies and their chances of re-election. Israel may stay on longer but lacking resupply from the world and with the Hungarian revolting ending in late 56 the Soviet Union will be free to support Arab clients. Either way the Suez Crisis ends more or less like OTL except with the possibility of a more Soviet oriented Middle-East (Obviously leaving out OTL American clients like Iran ).
While Nasser may or may not be removed from power by now the Six-day war will go on more or less as OTL. I can't imagine an domestically chosen Egyptian regime to be friendly towards the Israeli. The land claims with be more or less OTL, the Israelis cannot hold land across the Suez and at most push a bit further into Syria. Any land Israel takes will be populated with a hostile populace, meaning either expulsion or long-term insurgency. With a much more devastating defeat in the Six-day war the Syrian and Egyptian may reform their armies more efficiently than OTL.
Now the Yom Kippur War is really up in the air, while there wouldn't be mass expulsions if the Arab coalition won there might be limited expulsions from former Egyptian/Syrian land. At least that's the most the United States will accept anyways.
OPEC would also be a lot more hostile to America even despite their need of US money.