It's so simple. Demonstrate to a judge that you have probable cause and you'll get your warrant. That's how the system was set up and it has worked pretty damned well. Why, oh why, do we suddenly need to hide the actions of law enforcement and other government bodies from the judiciary?
Well now, see? There's your problem. You still believe that they're your representatives. They're not. Oh sure, you were allowed to vote for one of the candidates, but virtually all of them are already beholden to the people who wrote the big checks that got the on the ballot in the first place. In other words, big business and big money are the only real "constituents".