An article in USA Today highlights a certain of confusion about immigration and federalism. In this case, the main argument is that the Arizona immigration law is straining U.S.-Latin American relations. But a closer look suggests that countries with already strained relations (quoting an official from Ecuador) feel that way, while countries with smoother relations (a Brazilian is quoted) disagree.
A senior official with the Brazilian Embassy who was not authorized to be quoted by name said that country's relationship with the United States has not been harmed because the Obama administration has not only spoken out against the law but initiated the lawsuit that halted its implementation.
The Obama administration has fought the Arizona law, so it is hard to see a country changing its position vis-a-vis the administration as a result. What would more likely fall into that category is continued unwillingness to push for immigration reform.