Such regulation will be swatted down, I'm sure. The private spaces have legal protections guaranteed by the constitution. Just like the christian baker who was protected from being forced to decorate cakes with messages he found offensive, these companies will be protected from being forced to publish speech they find offensive.

The analogy is appropriate in the sense that its not the "shouting" that is offensive, but rather that the message is considered offensive in the private place where it is expressed against the wishes of the owner of that private place.