OK. Let's look at the articles that you linked me. The CCPOA (the California Guard's Union) has nothing to do with private prisons (not private prisons). CCPOA is a very powerful union, and they are guards of state run prisons. CCPOA is against the concept of private prisons (they state in the link that they "Successfully defended the basic incarceration function from privatization (contracting out)"). These are public employees doing what you're accusing private organizations of doing! It's no surprise that a powerful state correctional officer union doesn't like private prisons, the private prisons are a threat to the correctional officers' jobs.
In the third link, it discusses contracts where CCA requires states to have minimal occupancy rates or pay rebates. I can see how that might be objectionable, but that is not an example of using lobbyists to campaign stronger sentencing. The agreements essentially say: "We've invested dollars for infrastructure to build this prison under agreement with you guys. If we're going to continue to operate this facility, you need to fill our facility to x percent capacity". If private prison firms are getting paid at a capitated rate, there is no money in operating an empty prison...just like flying a plane with empty seats will lose an airline money. The only article of substance in your post basically says "see, those evil bastards are trying to make money from prisons!' Well duh, of course they are. That does not, in any way, point to their lobbyists pressuring lawmakers for harder sentencing. Further, none of these states are entirely privatized, believe me - the states don't need to incarcerate more people to fill prisons. California, in particular, really doesn't need more inmates - they were among the first to enact (what I believe are unreasonable) 3-strikes laws (which existed before private prisons).
Look, I have already said that it is in their best interests that incarceration rates are high. CCA said it themselves in the (mandated by law) risk profile of their SEC filing ("The demand for our facilities and services could be adversely affected by the relaxation of enforcement efforts, leniency in conviction ..."). But I've worked for a mental health company who had to put into our risk profile filing that if all mental illness were somehow cured tomorrow, the demand for our service would be adversely affected. It does not, in any way, suggest that this company would fight against a cure for mental health, if it existed.
You also complain that they exist solely because of lobbying. What public-private partnership does not exist (in-part) because of lobbying? Does that make the entire privatized government service industry shady, or just private prisons? Raytheon, Northrop Grumman, Lockheed, SpaceX, Boeing...these all helped America build our space program with help from lobbying (among other things). I am not suggesting that the space program is the same as private prisons, or even remotely in the same ball ballpark, but these are private agencies who served the government with serious help from lobbying efforts, on the same level as companies like CCA.
I've said a number of times, I understand how higher incarceration rates are in the best interest of private prisons. I also understand how the idea of private prisons can be objectionable to many. However, my post effectively asked a simple question: Is there actual evidence to demonstrate that the private prison is actively lobbying to increase prison sentencing? Your 5 second trip to google did not provide any answers to the question that was implicitly asked. You provided links to more of the same conjecture. Conjecture does not equal evidence.
I also understand why many have a problem with private prisons on a fundamental ideological level. I am not a fan of the industry myself. I don't like the concept. But I'm not going to make up facts to support my fundamental problems with the industry. We both might really dislike Nazis, but if I made a blanket false statement like "all Nazis are child molesters", I'd like to think that you would call me out on it too. You're making an assumption due to the direction that the incentives run, but have yet to offer anything other than conjecture. If you have evidence, please share it.