No, you're wrong.
Freedom of speech never, ever meant you had guaranteed access to someone else's soapbox.
You want freedom of speech, stand on your own soapbox; if you're standing on someone else's soapbox, he gets to limit what you say.
I completely agree with this, but I also want to make sure we all understand that censorship is not something only the government does. The owner of the soapbox is censoring you by limiting what you say. I bolded and underlined the part below.
Censorship
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For information about censorship in Wikipedia, see
Wikipedia:Censorship. For scientific uses, see
Censoring (statistics).
Censorship is the suppression of speech or other public communication which may be considered objectionable, harmful, sensitive, politically incorrect or inconvenient
as determined by a government, media outlet or other controlling body. It can be done by governments and private organizations or by individuals who engage in
self-censorship. It occurs in a variety of different contexts including speech, books, music, films, and other arts, the press, radio, television, and the Internet for a variety of reasons including national security, to control obscenity, child pornography, and hate speech, to protect children, to promote or restrict political or religious views, and to prevent slander and libel. It may or may not be legal. Many countries provide strong protections against censorship by law, but none of these protections are absolute and it is frequently necessary to balance conflicting rights in order to determine what can and cannot be censored.
If you offer someone a soapbox and because they then say something you do not like you say you will take that soap box away unless that person only says things you approve of, you are engaging in censorship. You are not taking away their freedom of speech but you are definitely engaged in censorship. Only government censorship is Constitutionally illegal and then only if the censorship extends to the government not allowing a person to express oneself as a free citizen. As far as I can tell, government is entitled to the censorship of government employees when it comes to discussing their work for the government.