Let's get one thing straight here, if you apply the bill of rights to the public then you will create a de jure police state. Every publisher will have to publish every thing coming their way because that is censorship if they refuse. Every store would have to get rid of its security cameras because that would be dragnetting. Anyone who discriminates in hiring employees would be a criminal. I could go on on and on but that would waste the bandwidth here since I've already made my point I'm in favor of applying the Bill of Rights exactly as they are written. If you'll notice, the First Amendment applies only to Congress. The Fifth Amendment specifically applies to all persons and entities in the United States.
This was the wisdom of the Founders, and I thank God for it.