There is nothing mutual about Israeli powerpolitics. There is just one goal: "Is it good for Israel." Is it good for the US, or for that matter any other country is irrelevant. In a way this is the what every country has to do. Only, between most western countries the win win concept prevails, which means that one tries to satisfy the wishes of the other party as much as possible without forgetting his own wishes. Zionists do not think in win win concepts, everybody who goes against their will is defamized as an enemy of Israel and an anti semite.
Yemen's Houthi rebels commit to peace plan in letter to UN chief, BBC reports (Haaretz)