Well... if person looks Hispanic and they encounter ICE then yes they get questioned. If they do random ID checks and a person shows a temporary ID then they'd get questioned regardless of race. If you commit a crime, ICE will put a retainer on you once you're in jail.
ICE targets undocumented immigrants through known population congregations. I don't personally see raids on undocumented Russians or Swedes or Australians; maybe because they're not as large a population as Mexican or Central Americans