When I talk about NWO I'm talking about an agenda that was spelled out quite openly and named by people like the elder George Bush and others.
It's pretty much synonymous with a communist/liberal agenda.
It's the move toward globalization, dissolving of borders, dissolving of separate nations and peoples. It's a major part of why illegal immigration is allowed to flow freely into the USA and why leftist governments in the West hate Israel so much for being different from its neighbors, and why Muslims are allowed to flood into Europe. It's why segregation was attacked so fiercely in places like the USA and South Africa, and forced integration put in its place. It's why miscegenation is constantly promoted in the mass media. It's what drives the feminist and LGBT movements, because men and women must also have their differences erased as much as possible for communism to triumph, as well as what you mentioned before about dissolving of the family structure.
When you hear someone spout off that they're a "world citizen" then they are buying in to this agenda.
One of the books I read in college was a business book, and it said something to the effect of "To be a good world citizen, do this and this". Well, I'm NOT a world citizen; I'm a citizen of Texas and of the USA. This 'world citizen' bunk is trying to say we're all one with every type of people on earth, as if our individual roots and traditions and backgrounds mean nothing, and that we're all just the same underneath. I don't buy in to that at all.
Everything that is liberal or communist can be traced back to this. It's about dissolving group identity, about dissolving any sense of place within your community and people, it's about making everyone in the world "One".
Here is a 'popular' song that has been used to brainwash people into this mindset, a little more blatant than most:
That pretty much spells out the communist/NWO agenda in a nutshell.