That is a great idea, but it will not work. People will say that only the government and big corporations can be trusted with that data, because of reasons.
I think it's a terrible idea. If I decide to call in sick and go lamp shopping, there's a vast difference between the FBI or Google being able to track me, with some effort, and my boss being able to idly hit a web page and see where I am. At the end of the day most of us are hiding trivial, below-the-radar infidelities, not dragging dismembered bodies around in suitcases or plotting revolutions.