The concept of Libertarian Free Will (and the contextualizations that must accompany it) is really just too big to tackle all at once, so I’m going to begin with a thread to serve as a basic primer about my view of Libertarian Free Will (LFW) – what I posit it to be, ontologically speaking, and how I describe it.
The basic difference between compatibilist free will and libertarian free will is that compatibilist intents are ultimately manufactured effects of unintentional brute processes. No matter how many layers of “pondering” “meta-pondering” one adds, or how many “modules” or “partitions” are added to the mix, it all still ultimately boils down to intentions being sufficiently explained as effects of brute (unintentional) forces. That is the root of all will in the compatibilist view; ultimately, humans do as they will, but do not will as they will, regardless of how many pre-action “intentions” they put in the chain.