Should U.S. Prosecute Media?

U.S. Attorney General Alberto Gonzales said on Sunday that his office is considering prosecuting The New York Times for breaking the story about the government's secret domestic spying program."

From Reuters:

There are some statutes on the book which, if you read the language carefully, would seem to indicate that that is a possibility," Gonzales said told ABC's "This Week," when asked if the government could prosecute journalists for publishing classified information.

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"I will say that I understand very much the role that the press plays in our society, the protection under the First Amendment we want to promote and respect, the right of the press. But it can't be the case that that right trumps over the right that Americans would like to see, the ability of the federal government to go after criminal activity," he said.

Should one right "trump" another, or can they co-exist?