Yes, but if it's in your house, you at least know it happened and can try and fight it. If google hands over your data you may never know. I think in many cases they'd likely be barred from telling you even if they wanted to.
Note: IANAL
Note: IANAL
You? Not so much. If the FBI shows up at your door, you're toast.
(Hint: the opposite. The government had to pay him damages for seizing his computers.)