Yes, this is a common point of confusion when talking to Europeans about racial issues in the US (as I found out myself recently). Race in our contexts refers to your background/birthplace/heritage. On our government forms: "What race are you?" "White, black, hispanic, etc."
This is fundamentally different by intent than in Europe (using french here) where we refer to 'la race humaine' which is the _species_.
The nuance is critical during debates. While I was discussing racial differences to some Swiss folks, they thought I was talking Nazi propaganda! We are all part of the human species, the human species has many races. We are all equal!