Therefore the analogy with rapists and murderers doesn't work too well. Or bank robbers (to choose something less incendiary). No judge, upon hearing an appeal from a bank robber -- as to why he robbed a bank in the first place -- is going to grant him the right to go on robbing banks without facing legal consequences. People here in violation of immigration law are sometimes granted extensions that allow them to stay in the United States while their case is being heard. Sometimes they even eventually get permanent resident status.
I will add this, I have read in blogs written for people who are facing political persecution in their home country and fear being arrested, tortured or murdered, international advocates recommend going to Canada to seek asylum. They warn people that at present immigration into the United States has become a highly politicized and emotional issue. That because of that, American immigration officials may not be too sympathetic even to people who can document a well-founded fear of state-sponsored violence in their country of origin. That's really sad.