The three-strikes law significantly increases the prison sentences of persons convicted of a felony who have been previously convicted of two or more violent crimes or serious felonies, and limits the ability of these offenders to receive a punishment other than a life sentence. Violent and serious felonies are specifically listed in state laws. Violent offenses include murder, robbery of a residence in which a deadly or dangerous weapon is used, rape and other sex offenses; serious offenses include the same offenses defined as violent offenses, but also include other crimes such as burglary of a residence and assault with intent to commit a robbery or murder.

So, since speeding is not a felony, it has no relevance here. Shoplifting might be a felony, but it would only invoke three strikes if you already had two prior felonies which also happened to be violent.

By the way, I'm not defending three-strikes laws, just describing them. I think they are a bad idea. I also think the ACLU is whitewashing the records of a lot of the people involved here.