"Why not review the history of protests from Rosa Parks to the sit-ins."--Uh, those people were almost all arrested and typically forcibly removed if they didn't leave of their own accord.  The protests resulted in changes in the law that forbade segregation in those places; the Constitution didn't stop them from being thrown into jail to begin with.

If the protestors actually believe their 1st Amendment rights take precedence here, then I'm sure every single one is going to get a lawyer to be compensated for damages, yes?