The anonymous official is most likely (again) Ehud Barak, or possibly someone close to Barak or Binyamin Netanyhu.
Here are the ransom demands:
First of all, Obama must repeat, publicly (at the UN General Assembly for instance), that the US will not allow Iran to obtain nuclear weapons and that Israel has a right to defend itself, independently. Jerusalem would view such a statement as a virtual commitment by the US to act, militarily if needed, and would likely cause Israel to reconsider the unilateral military option.
Israel is also demanding that Washington inform Iran that if significant progress in the negotiations with the P5+1 group (the permanent members of the UN Security Council and Germany) is not made within the next two weeks, the talks will be suspended.
Israel is also urging the US and the European Union to increase the direct economic pressure on Iran.
Another demand is a noticeable reinforcement of American forces in the Persian Gulf and emphasizing, mainly in the press, Washington's capabilities to stop Iran's nuclear program.
Israel considers the gradual, cautious exposure of the Pentagon's military options and means to be just as important, as it would clarify to Tehran that the US is serious. But the focus should be on revealing these options to the American press, not to the Israeli media.
Another Israeli demand refers to the so-called "red line" of Iran's nuclear program. The Obama administration claims that it will strike once intelligence agencies identify a "breakthrough" in the development of nuclear weapons, as defined by Iranian Supreme Leader Ali Khamenei. Israel argues that Iran must not be allowed to even come close to achieving nuclear "breakout" capability.
For all that, Israel magnanimously will consider
The senior Israeli official estimated that should Washington accept the main demands, Israel would reconsider its unilateral measures and coordinate them with the US.
There's more at the link. But you might want to wrap your head tightly to keep it from exploding before you click.
Cross-posted at The Agonist.