>> “Warrants are always obtained secretly - it is kind of the point of a warrant” <<
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The constitution offers no such thing as the secrecy of a warrant. Court proceedings are all assumed to be open to public scrutiny, and any secrecy must be publicly requested in open court by requesting a meeting in chambers.
You really believe that it is common practice for a search warrant to be issued after a formal court hearing?
All it takes, and has ever taken, is for a peace officer to go to a judge and make an affidavit that he has reasonable grounds for a search.