Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the government for a redress of grievances.
Note that the legal constraint is placed on Congress. Along with rights come responsibilities (legal constraints re: slander, libel, defamation & character assassination), and freedom of speech does not carry venue. Freedom of speech provisions limit the government ie. congress from passing laws that censor or prevent law abiding citizens from speaking in public spaces only. Freedom of speech does not apply to privately owned spaces..
Censorship is a governmental action. If the government prevents you from speaking anywhere, you are being censored. You may say what you wish in a peaceful assembly and/or in your own private home but you may not say what you like in any other person's or organization's private premises. The property owner or renter has the right to censor their guests by defining behavior that must be respected in their premises.
I fully support your right to think and say nasty things about my race, gender, faith and physical ability, so long as you secure your own private venue to do so in, and you do not combine that speech and thought with illegal acts including libel, force or fraud.
Here are (rights and responsibilities) examples:
How about yelling FIRE! in a crowded restaurant? Does the right to exercise freedom of speech trump responsibility to others. No!
How about someone coming to your work place and expressing their hatred for you through a megaphone all day long? Does the right to exercise freedom of speech trump the responsibility to obey the law with regard to trespass and to behave peacefully on that business premises? No!
How about someone using a megaphone to insult you on your own front porch? Does the right to exercise freedom of speech trump your responsibility to obey the law with regard to trespass and to behave peacefully on the private premise. No!
Does an atheist have a right to stand in a synagogue and denounce YHVH? No!
Does an atheist have a right to stand in a church and spontaneously denounce Jesus? No!
Does an uninvited priest, pastor or lay preacher have the right to attend an atheist convention and spontaneously preach the gospel? No!
Does anyone have a right to stand in your living room and denounce you? No!