It depends on the circumstances. Security never trumps arbitrary or groundless invasion of privacy (security cameras in every home, wiretaps on every phone, and the like). If there is probable cause, however, a warrant is justified.
Take a look at Griswold v. Connecticut.
Anyway, I believe that if the FBI or CIA has a list of people deemed threatening to our national security, they may take the proper measures, whatever they may be, to ensure that our national security is never in jeopardy. I agree, however, that there should be limits on security breaching privacy (security cameras in houses seems too Orwellian to me).
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