For instance, a flow of copper ore from Michigan down to the Aztecs?
You can find some good answers related to your question in the FAQ:
Trading across North Amerca
Trading between Mesoamerica and the Andes
Trading between North America (US/Canada) and Mesoamerica.
To paraphrase an idea frequently brought up in those topics, there's strong evidence that most of the Americas were connected to each other by trade- though with varying degrees of separation. Technically trade routes did connect North America (which would include folks like the Aztec) with South America: the eastern Woodlands traded with the Mississippians who traded with Mesoamerica who traded with northern South/southern Central America who traded with the Andes. BUT that doesn't mean something from Michigan could make it down to Peru. There's minimal evidence for singles objects that traverse so many middlemen.
To address your secondary question: probably not. We do see Michigan copper in Louisiana, but the bayou has never been known for its mineral reserves. Mexico, though, does have such resources. Hosle and Macfarlane have analyzed nearly 200 copper artifacts from 17 different sites in Mexico and Belize to compare their chemical makeup with samples from ore deposits in Western Mexico. They confirmed that mines in Michoacán and Jalisco were the primary source of copper for the sites in question, including a late classic Maya site in Belize and several Aztec towns. It is particularly interesting that Aztecs continued to use this copper because the mines would have been in the territory of the Tarascans, an opponent of the Aztec state.