The problem is not that "Obama has distributed carrots and sticks unequally". The thing is that Arabs are so used to sticks on the head from America, that even the tiniest carrot (an empty speech from a politician) seems like something to cheer up. Israel, on the other hand, has so far only received tons and tons (and billions and billions) of carrots, without the slightest threat of ever seeing a stick, let alone being hit by it, so the less "carroty" tone of Obama combined with the less "stick-y" one with their adversaries is making Israel go mad with spite and resentment. That's what usually happens when you spoil someone so much.
Police disperse hundreds in brawl in Kafr Manda, northern Israel (Haaretz)
from the article: Memo to Obama: Two little Hebrew words make all the difference