It's absolutely mainstream on all sides to try to silence people you disagree with, and it always has been. Republicans tried to silence Nike and the NFL over Colin Kaepernick, Democrats tried to silence companies for doing business with the apartheid regime in South Africa, Republicans are trying to silence Coke and Delta for their support of voting rights, civil rights era people tried to silence racist bus companies, evangelicals are constantly trying to silence all manner of businesses all the time. It's a long-standing American tradition at this point.
Sure you can find specific examples, but thankfully the US still has some semblance of celebrating free speech.
And your examples of silence seem fuzzy. Who was trying to “silence” (suppress speech) of South Africa? Suppress their racist political system? Sure, but I don’t recall anyone saying they can’t talk.
