Avraham Poraz, Shinui's second-in-command after Tommy Lapid was unexpectedly beaten in the race to head the party's list for the 2006 elections by Ron Levintal.

They formed the Secular Faction on 26 January 2006, though on 5 February, Hemi Doron and Eliezer Sandberg left the new party to establish National Home.

[1] Once seven MKs defected from Kadima and joined the party, Poraz announced that they now "represent Hetz in the Knesset".

[2] Hetz ran independently as a minor party in the 2021 election, bringing back the original name but keeping Hatnua's ballot letters (צף).

The party promised to introduce a constitution, separate religion and state, allow civil marriage and repeal many of the country's arrangements that they claim strongly benefit the Orthodox population (such as large child benefits (many Orthodox having 10 or more children), exemption from military service and payments to yeshivas).