The New Apostolic Reformation supports a theology called "Christian dominionism". Basically, the idea is that Christian believers should have positions of influence in politics, the media, the arts, the sciences and everything that influences the culture. That is part of being the salt of the earth and the light of the world, as Christ called the Church to be, and praying and working for His Kingdom to come.
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On what he means when he describes the NAR's mission as taking dominion over business, government, media, arts and entertainment, education, family and religion
"In terms of taking dominion, we don't — we wouldn't want to — we use the word dominion, but we wouldn't want to say that we have dominion as if we're the owners or we're the rulers of, let's say, the arts and entertainment mountain. What we strive to do and our goal is to have people in the arts and entertainment mountain who are committed to the kingdom of God, so therefore, we use the adjective there — kingdom-minded believers — and our goal is to try to have as many kingdom-minded believers in positions of influence in the arts and entertainment mountain as possible. And the reason for that is, to help bring the blessings of heaven to all those in the arts and entertainment mountain."
On dominionism and acquiring leadership positions in government
"We believe in working with any — with whatever political system there is. In America, it's democracy and working with the administrative, judicial and legislative branches of the government, the way they are, but to have as many kingdom-minded people in influence in each one of these branches of government as possible so that the blessings of the kingdom will come."
From:
https://www.npr.org/2011/10/03/140946482/apostolic-leader-weighs-religions-role-in-politics