Fun fact: because of their French (and to a lesser degree, Spanish) influence, Louisiana's laws still follow a civil law system.
[1] https://www.apprendre-le-droit.fr/anglais-juridique/what-is-...
[0]https://en.m.wikipedia.org/wiki/List_of_U.S._states_by_incar...
Louisiana is one of the poorest states in the country and has one of the highest contracted private prison quotas in the country (96% occupancy).[1] And until recently, Louisiana had some of the harshest mandatory minimum drug sentencing requirements.[2] They still have harsh mandatory minimums for other offenses. If you're looking for an explanation for Louisiana's criminal justice issues those factors are the far more likely explanations than the existence of a civil law system.
[1] https://en.m.wikipedia.org/wiki/Louisiana_Department_of_Publ...
[2] https://www.pewtrusts.org/-/media/assets/2018/03/pspp_louisi...