Now led by Ayelet Shaked, a secular politician, New Right downplays the role of Jewish religious law. It has tried to appeal to secular, nationalistic Jews by adopting a more tolerant stance on identity issues, such as gay rights and feminism.
Shaked, who previously served as justice minister, has been outspoken in rejecting liberal democratic values, however, calling them "utopian". She has said: "Zionism should not and will not bow before a system of individual rights interpreted universally."
During Israel's 2014 attack on Gaza, she also declared that "the entire Palestinian people is the enemy", and appeared to approve of the slaughter of Gaza's civilians, calling for Palestinian mothers to be killed to stop them giving birth to "little snakes".
Three smaller national-religious parties are outside the United Right coalition and, barring last-minute changes, are not expected to make it into the parliament.
Noam is a backlash party from within the national-religious camp to the social liberalism of Shaked's New Right, demanding a "normative" Jewish family life.
Jewish Power comprises the unrepentant remnants of the virulently anti-Arab Kach party, led by the late Rabbi Meir Kahane, that was outlawed in Israel in the 1990s.
And the libertarian-nationalist Zehut party, led by Moshe Feiglin, an exile from Likud, demands full annexation of the West Bank.
State agencies infiltratedGurvitz observed that the three main national-religious factions all place a strong emphasis on military service, and have focused on getting settlers into senior roles inside the army.
Rather than rejecting the state's secular institutions, as the ultra-Orthodox tend to do, the settler parties have been working hard to infiltrate and gradually take them over, with some success in the case of the police, the courts, the education system and even the ruling Likud party.
They view themselves as in a culture war, trying to infuse Israel with a stronger Jewish identity.
The three parties have minor differences over their approaches to annexation of the West Bank, likely the biggest issue facing the next parliament.
Shaked's New Right and Peretz's Jewish Home demand formal annexation of most of the West Bank, denying Palestinians there equal rights and imposing apartheid-style rule over them.
Since Donald Trump became US President, Likud has moved closer to openly adopting this as its policy.
Smotrich, meanwhile, would prefer to annex the entire West Bank and has been more explicit in suggesting it would be necessary to ethnic cleanse Palestinians as part of that annexation process.
Courts intimidatedParadoxically, two of the three religious-dominated blocs are led by secular politicians: Likud by Netanyahu, and the coalition of settler parties by Shaked.
Shaked's leadership role is the more surprising given that national-religious rabbis have pushed to remove women from public life.
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