The Great and Abominable Church/the whore of all the earth has dominion over all the earth, among all nations kindreds, tongues, and people. This Church includes everyone who is not a part of the church of the Lamb of God. All the nations of the Gentiles fight against against the Lamb of God.
But
There is also the church of the Lamb of God (I made it small c because it isn't a legally organized entity of any kind, nor does it try to hold itself up as some kind of authority that tries to force others to obey its every whim). The people belonging to it are also all over the planet, even though there are very few of them in comparison to the earth's population.
The saints of the church of the Lamb of God and the covenant people (I find it curious that it's worded as two groups - or is it saying that the "saints" of the church of the Lamb are also the covenant people?) are armed with the righteousness and with the power of God in great glory. That description deserves a lot of humble pondering and self-introspection.
At some point, Satan will have no power because of the righteousness of the people. He has no power over their hearts. I think that also deserves a lot of humble pondering and self-introspection.
Sources: RE 1 Nephi chapter 3, paragraph 28
RE 1 Nephi chapter 7, paragraph 5