The NSA's primary arena of operations is the National Security Council, whose central members, besides the President, are the Vice President, the Secretary of State, the Secretary of the Treasury, the Secretary of Defense, and the Assistant to the President for National Security Affair. The Chairman of the Joint Chiefs and the CIA Director are not even members of the NSC, but advisors to it. The description of the NSC on the White House page doesn't even mention the FBI.
These are the personages among whom the National Security Advisor coordinates policy; I don't really think that comparing raw data from the CIA and the FBI is part of Dr. Rice's job description.
Exactly, and that is part of the function that will be created by passing of the Homeland Security bill