This time Obama and Israel are very in mistake. Saudi hates Israel, Iran, and US all and usually plays to hurt all the three.There is a consensus in region to weaken US. So while before Saudi promised to give Oil after sanction of Iran, they played so that Iran was sanctioned and later oil price increased and western economies went into bankruptcy. So , again if Saudi can play a game to shut down and weaken the three, it would do, but I do not believe it prefers Israel to Iran!
Law expanding definition of terrorist activity passes first Knesset reading (Haaretz)
from the article: Saudi Arabia: We will not give Israel air corridor for Iran strike