1 - The people are real, the buildings are real, the guns are real, the "authority" (the RIGHT TO RULE) is not, without which it doesn't fit the definition of "government."

Are you saying government does not exist? Or are you saying government keeps order regardless of your particular definition of authority? If it's the former, you don't need to argue anything because you have anarchy. If it's the latter, then authority doesn't matter because groups of representatives chosen by voters are keeping order. Either way your analogy is pure BS because you're comparing the removal of something nonexistent to the removal of something which exists.

2 - If "government" could only do what you have the right to do, it wouldn't be "government." Care to try again?

Care to ask a question that makes sense? I delegated my authority to protect myself using force in my example. You might want to actually respond to that, instead of doing what you accuse "statists" of.