Right now I think you are deliberately trying to be confusing because my questions were not at all hard to understand, but I'll humor you I guess (Grant understood what I meant so really I can only assume that you're just trying to pull the wool over my eyes)...
I'm not sure I understand this question. Are you asking me to describe the process by which the roles played by government would come to be privatized?
I'm asking you exactly what it says in the question, but I'll rephrase it since I know that just answering it how you think it should be answered is too easy and straightforward
"How do you propose, in your own words, that the roles the government plays in a political system (that is, one that is not anarchic) be privatized?"
Could you explain to me what a privatizing entity is supposed to be? I have never seen this term used before.
An entity, in my question's case, is just something, anything which fulfills the criteria of a 'thing' to do a job that needs to be done, such as privatizing in this case. I don't think this was difficult to understand at all, and maybe you're overthinking it.
edit: a few addenda...
Every political system that's been tried was untried at some point in time.
First off, using the term "untried" is pretty commendable (or dumb, I can't decide which)...anyway, of course, but for what reason? Most were stamped out because they were weak (as in, they were conquered and remade as another kind of system because the individuals doing the conquering had more power) and not ambitious enough to participate in the secular push-and-pull of government relations.
large parts of our economy are pretty close to being anarchic.
There's good reason for this though, and not (yet) good reason for entire societies to operate anarchically, at least in this day and age. The economy needs to be at least somewhat "anarchic" because forceful rerouting and regulation of the economy is, well, dangerous as fuck (not to mention the economy is unpredictable and very fickle, as we all clearly know).