I think you'd be better to leave race out of it.
Maybe it's an honest question but I suspect you're simply choosing to be pedantic with the definitions.
https://en.wikipedia.org/wiki/Racism is peppered with references to the persecution of the Jews, so evidently others would file it under racism. Either way, my parent's comment was out of line.
Judaism is not a race. Why do you say that it's better to leave race out of it when nobody has mentioned race?