Good question. I don’t consider being Jewish as being a race anymore than being Italian or Peruvian is a race. But the real meaning of your question is can we consider antisemitism as something more than personal bigotry. I say yes, and that’s why I speak of these issues in terms of hierarchical structures of power and recognition norms. Our society is imbued with ideas that Jews are inferior and their beliefs and practices worthy of contempt. We can debate how widespread those ideas are and how much they permeate our thinking, but there are plentiful cues for people to pick up on to develop bigotry against Jewish people, and that bigotry is supported by the hierarchical power structure and its recognition norms.
I think that all prejudices — racism, sexism, classism, and so on — have the same structure. They are ways of thinking and acting supported by social structures. I don’t know yet what a good name is for that fundamental attitude and structure that is at the core of all prejudices, but in my long answer to your question, antisemitism, though not racism because it isn’t about race, is equatable to racism rather than bigotry. I hope my explanation is making sense.