Shaul Mofaz moved from the position of Defense Minister and received the Transport ministry in the new Cabinet installed on 4 May 2006. In 2008, with Israel's then prime minister, Ehud Olmert, being pressured to resign due to corruption charges, Mofaz announced that he would run for the leadership of the Kadima party. On 5 August 2008, Mofaz officially entered the race to be leader of Kadima. That same day he received a blessing by Shas spiritual leader Rabbi Ovadia Yosef. On 17 September 2008, he lost the Kadima party election, losing to Tzipi Livni for the spot of the Prime Minister
Hetz (political party) the top five places on the list. However, the agreement was later cancelled and Hetz did not run. In 2012 Hetz was taken over by Tzipi Livni to form the basis of the Hatnuah party, also inheriting the NIS 1.8 million in the party's bank account. Once seven MKs defected from Kadima and joined the party, Poraz announced that they now "represent Hetz in the Knesset". Hetz's policies mirrored those of Shinui in being centrist and liberal with a strong secular leaning. The party promised to introduce a constitution, separate religion and state, allow civil marriage and repeal many of