Well educated as they are, skilled people usually don't prefer to live illegally. And that's why you will most likely see ex-illegals and unskilled people receiving green cards or citizenship in US.
Do you mean being arrested? Because having your permission to stay/work revoked with a given time to leave the country looks like being deported for me. After that, even a touristic visa will be harder to obtain again.
Please, don't get offended. I'm not a heavy user here and I don't have permission to downvote posts.