I am VERY concerned about the first amendment, it and the second amendment, and the fourth and fifth and eighth and ninth and tenth amendment are being ripped to shreds daily.
But this has absolutely nothing with your right to freedom of speech. You have the freedom of speech, and other private citizens have a right to boot you off their PRIVATE PROPERTY for ANY reason they want, including your speech upsetting them. I don't have the right to forcibly remain in your house to "speak" if you tell me to get lost, it is your private property. You don't have the right to remain in the private property of anand lal shimpi (the owner of anandtech) if he, or his proxy (moderators) tell you not to. Now, they aren't telling you to get lost YET, they are telling you to zip it or they will tell you to get lost. And its their right because its their private property, and your rights are not violated in any way by it.
Now if a cop was silencing you in public property (anything paid for by the government) OR if he was silencing you in private property where the owner has given you permission, then your first amendment right would be violated. (if the owner told you to zip it or beat it and you refuse, he will call the cops and the copes will remove you forcibly from his property, and it will not be a violation of your first amendment rights).
Finally, I don't know if this website is hosted in the united states, but it might not be, out of curiosity, have you checked or do you just assume the entire internet obeys US law? you do realize it is perfectly possible for it to be located elsewhere? the internet is rather international. (although, local laws do apply, every website on the internet is beholden to the laws of the country in which it is physically hosted, and every other country can and often do block undesirable sites)