No, it doesn't mean that. It means being apart from company or observation. Wiki defines it as "the ability of an individual or group to keep their lives and personal affairs out of public view, or to control the flow of information about themselves" which seems a pretty good definition and shows why government how government can go too far in protecting it.
How about if the government suspects one is harming another? Can it snoop? How about if you run a red light at 2 a.m.? Can it interfer?
I'm sorry, the last part of your first paragraph seems to have gotten garbled in editing?
Your second paragraph raises important questions that are addressed by the amendment that you presented me with. The government can only infringe upon a person's rights when that person is committing a crime and due process of law finds that person guilty.