What makes Illinois different
Above a certain margin the question stops being about points at all. Illinois treats speeding at a sufficiently large margin as aggravated speeding — a misdemeanor rather than a petty offence, with a criminal court appearance attached and a criminal record at the end of it. The line is lower than most drivers assume, and the fine schedule on this page does not price what sits above it.
The instrument Illinois drivers actually rely on is court supervision. It is neither a conviction nor a dismissal, it is limited in how often it can be used, and understanding it is most of understanding how a traffic case works in this state.