Approximately 50% of all undocumented aliens entered legally and simply failed to return after their temporary visa or authorization expired. That is not a crime. Does that mean that you have no objection to 50% of the out of status immigrants?
If someone committed a crime of speeding, running a red light, discriminating in renting a house, owning a gun without a permit, or possessing marijuana at some point in the past would you forever hold it against them?
Sorry, I don't buy the line that people oppose illegal laborers simply because they are illegal.