The Wikipedia describes Dominionism in the following manner...
Quote: In a politico-religious context, dominionism (also called subjectionism is the tendency among some conservative politically-active Christians, especially in the United States, to seek influence or control over secular civil government through political action. The goal is either a nation governed by Christians, or a nation governed by a conservative Christian understanding of biblical law. The use and application of this terminology is a matter of controversy.
Although dominionism is used in several distinct ways, most usage originates directly or indirectly from a specific passage in the King James Version of the Bible:
And God blessed [ Adam and Eve ] and God said unto them, "Be fruitful, and multiply, and replenish the earth, and subdue it: and have dominion over the fish of the sea, and over the fowl of the air, and over every living thing that moveth upon the earth." — Genesis Chapter 1 Verse 28 (KJV)
Christians typically interpret this verse as meaning that God gave humankind responsibility over the Earth, and theologians do not all agree on the nature and extent of that "dominion". End of Quote
Dominionism is making huge inroads into the Charismatic/Neo-Pentecostal movement in America and around the world. This movement, called "Joel's Army" is being promoted by many, including Rick Joyner, who is a member of the Catholic Knights of Malta organization, the same organization that "knighted" Rupert Murdoch. Joyner, Sarah Palin and others are teaching untold thousands about a 'new breed' that is going to take over the kingdom and give it to Jesus.
'Dominionism' IS HERASY and is the fatal foundation on which President Bush based his Iraqi and Afghan invasions -- with the full support of thousands of Christian pastors!
Simply put, we the Christians will not take over the world until the return of the Lord Jesus Christ back onto the earth. Rather than taking over the world the opposite is applicable -- the Christians will be reviled and rejected buy the world until Christ returns back onto the earth.