No. Do being a member of the Anglican church an ethnicity?Is being a member of the Jewish religion an ethnicity?
Englishman (different from Irish or Scot) - ethnicity; Anglican (different from Roman or Orthodoxal) - religion.
Ethnically Jewish (different from Arab or Russian) - ethnicity; member of Jewish religion (different from Christians and Muslims) - religion.
Different things, not like "apples and oranges" but like "warm and soft".