The culture of "silencing disagreement" is growing, and it's being abused by everyone in power. The violent Black Bloc protesters used it to try to silence Milo Yiannopolus during his speech. Many schools are using it to create "safe spaces" and to censor "trigger words." The Republican Senate used it to try to silence Elizabeth Warren from reading a speech by Coretta Scott King, as you can see up above.
Admittedly, recently, it has been used more by liberals than by conservatives, but whoever tries to silence or censor opposition is in the wrong.
There are only a few exceptions to free speech. No obscenity. No words that incite violence or panic. No treason. Speech owned by others... a few more, but not that many.
When the Senate voted to silence Elizabeth Warren, Marco Rubio stepped up to the plate and chastised his fellow Republicans. I disagree with Marco Rubio on many, many, many things, and that is OK. On this, I agree on. We should be able to listen to disagreement and debate like adults everywhere... schools, forums like this one, the House, the Senate. It's great that people are passionate about their decisions. They shouldn't be telling each other to STFU.