while not exactly true, it is true that the American-Israeli bond only took its more familiar form after 1967. Up to that time the closest Israeli ally were the French [1]: "France was Israel's main weapons supplier until its withdrawal from Algeria in 1966 removed most common interest from the relationship, and France became increasingly critical of Israel".
Regarding American-Israeli relations[2]: "During Lyndon B. Johnson's presidency, U.S. policy shifted to a whole-hearted, but not unquestioning, support for Israel. Prior to the Six-Day War of 1967, U.S. administrations had taken considerable care to avoid giving the appearance of favoritism."
Regarding Russia, at the very beginning they were pro-zionists, wanting to undermine the British influence in the Middle East. But quickly the USSR became a menace, whether threatening directly or by proxies[3]