Israel is probably fine negotiating with the Arab states on it's own.
It has a peace treaty with Jordan and Egypt, and various levels of official and unofficial relations with the Gulf states.
Iran is an issue, so is the Hezbollah controlled parts of Lebanon and Syria if Assad falls is also up for grabs but with all 3 the US can't mediate anyhow.
And piggy backing on this there is very little prospect for actual war between Israel and the Arab states, neither Jordan nor Egypt would go to war, there is no scenario in which Israel will some how will find it self in war with either Saudi Arabia nor the other gulf states that for the most part do not have much military presence and even less force projection.
So the only thing which is left is a proxy war between Israel and Iran, which isn't exactly something you can call bloody, excluding the "war of independence" Israel longest and bloodiest war was the 'Yom Kippur' war which lasted for 19 days.
If Syria falls to ISIS and or Hezbollah decides to stir things up again you might see a limited engagement in the north of Israel, which might lead to the re-establishment of a security buffer like the one during Israel's invasion into Lebanon (albeit most likely without the (South)Lebanese Army being allied with Israel this time), but there is simply no scenario in which this can escalate into anything than a meaningless regional conflict that would barely impact the daily life in Israel not to mention the world.
The middle east is a powder cake indeed but Israel has little to do with it, an all out war is considerably more likely to happen between SA and Iran than even between Iran and Israel not to mention between the "Arab States" and Israel.
The Arab states simply has no reason, will or ability to start a war with Israel, and Israel is not going to start a war on it's own.