The source you cited never mentions rehabilitation programs; just that 67% or prisoners reoffend after 3 years, rehabilitation program or no. Am I missing something?
(not sure why you were downvoted)
IF you dig into their links, you can get to the data that separates out those in some sort of rehabilitation program and those not.
Probably that prison and probation are not rehabilitation. Rehabilitation is not part of the criminal justice system in the US. Punishment does not, by itself, rehabilitate successfully.