Everything you have said is false. Private prisons are not colluding to keep prisoners in prison or lobbying the state or doing any kind of action to increase the number of people that become imprisoned nor increase their length of stay. There is no evidence for anything you have claimed, you simply use "privatized" as if it were a dirty word and we should knowingly nod our heads in assent.
> I'm not sure
The way to resolve an information need is to engage in an objective search of facts, not speculate endlessly and make unsubstantiated claims of criminal behavior of others without some kind of evidence to base it on.
If you want people to spend less time in prison, you'll want the laws changed because that's where all this come from. Some of the laws in California are the result of ballots.