More like fear of getting caught illegally downloading the latest Batman screener is the driving motivation for alternate Internets.
If you are going to throw a straw man out, do it right: child porn is the driving motivation for alternate Internets. Think of the children and don't let that happen!
Those alternate internets are built with the general intent to guarantee informational freedom, disable censorship or at least make it more difficult, regardless whether it is Iran-style religious censorship, North Korea-style political censorship or US-style for-profit censorship.