i'm not too well-versed on the specifics of it all, but globalization economically and culturally is probably a very good thing for us.
Economists pretty much unanimously agree that globalized, free economies are a good thing. One of the few agreed absolute facts of economics is that restricting trade damages economies in the long-run. This is why Annoying Orange looks especially terrible in the eyes of economists.
'Culturally' is more of a tricky business. The cultural argument against globalization tends to be rooted in a lot of fear-mongering and racism, so I don't really have a fact-based counterargument for that. If you're pathologically afraid of foreigners, obviously you won't like globalization.
essentially the desire for a world government or larger governments spanning several countries
This is not globalization. This is the conspiracy theorist interpretation of globalization that views any step away from nationalism as a sign that we're going to enter some kind of new world order governed by an all-powerful world government. This will not happen, as even though there's plenty of international organizations (NATO, UN, EU, etc) our definition of sovereignty hasn't changed at all.