One problem with globalization is that it takes forever to pull everyone up to the global middle class (around $10k per capita). That's not just bad for low skilled workers in the US. A lot of countries get stuck in the middle income trap because foreign investors move on to the next cheapest country.
Is that a problem with globalization? Compared to what? Without globalization, most of those in the global middle class wouldn't have gotten there, and wouldn't stay there if globalization ended.