> Okay, sure, except for the hate speech such as calls for violence, obviously.
Hate speech is protected speech, as well as calls for violence (in limited circumstances); the standard for when speech is not protected is the event of 'imminent lawless action'. So, for instance, if you're in a lynch mob, and you yell to lynch a specific person, that's not protected, but if, e.g., you're marching down the street yelling to kill all the Jews, that is still protected speech (see National Socialist Party of America v. Village of Skokie).
> Or make a sort of a statement by desecrating national symbols - such as burning the flag or flying it upside down.
These are also constitutionally protected speech. Some places still have laws on the books regarding this, and some overzealous police departments might try to enforce them, but they would never hold up in court.