إسرائيل الكبرى
After the Six-Day War, Alterman was one of the founders of the Movement for Greater Israel finding himself in alliance with right-wing activists whom he greatly opposed in earlier times of his career. He criticized David Ben-Gurion (who only held at the time the position of a Knesset member, but was still influential) for being too willing to give up the territories captured during the war in return for a peace agreement.