Sure, but also worry about the government. First, the government has no more business knowing your personal details than any other organization. If they want info, that's what warrants are for.

Second, people tend to thing of the government as some sort of single entity. It's not. Government is made up of people: some good, some evil, most just trying to get through the day. There have been numerous examples of the evil types abusing access to personal data, for a variety of personal (usually illegal) purposes.