My wife had to pay a fine and received entry/exit restrictions when she over-stayed her Taiwan visa by 2 days.

Let us be clear...those undocumented or illegal foreigners are criminals...they broke the law.  I wonder what HPD will record on the arrest record when one of these criminal are arrested for a crime?

They are NOT undocumented immigrants...they are merely undocumented criminals and should be treated as any other person arrested for committing a crime.