I'm not actually American, but my understanding is that there have been prior attempts, especially in some US states, to make hate speech illegal, but each time it just gets knocked down because it violates that pesky first amendment.
The U.S. Supreme Court has repeatedly ruled that most of what would qualify as hate speech in other western countries is legally protected free speech under the First Amendment https://en.wikipedia.org/wiki/Hate_speech_in_the_United_Stat...
Now, if you're saying "All twitter should just follow the laws of the country", now you've got to decide which country?, because most Twitter users are not in the US, and Twitter operatates - has business entities and employees - in other countries apart from US.
You pose an interesting question and I might not have sufficient information to give you a full picture, but I might try to show a glimpse of what I think may be happening.
Someone somewhere decided it may be a good idea to expand existing framework ( hate crimes[1] ), which was relatively easily adopted in America due to historical ( slavery ) and political factors ( combating racism ).
[1] https://www.justice.gov/hatecrimes/laws-and-policies
With that in mind, the first step is saturating the media with opinions indicating some sort of support for a policy/law change ( in this case hate speech - links with sample articles follow - note how old some of those are ):
https://www.washingtonpost.com/opinions/2019/10/29/why-ameri...
https://newint.org/sections/argument/2012/12/01/is-hate-spee...
https://www.ihrb.org/news-events/press-centre/the-challenge-...
https://theconversation.com/the-idolization-of-free-speech-i...
Once the population is sufficiently primed, one can run it through congress. It is not a weekend project.
Note that it is exactly the same pattern with encryption battles, but at least that one has clear originators ( usually three letter agencies ).
If/when the Democrats restructure the Supreme Court to have a liberal majority, overturning Brandenburg with a single ruling becomes on the table, and the door is open for hate speech legislation.
I don't think any of the current sitting life time appointed supreme court justices have expressed any will at overturning that decision.
Well, in US there are certainly attempts to make it so. There is definitely framework in place and there is the mores. The time seems ripe too given how people seem afraid of what people might say if you let them.
There are definitely hate speech laws in other countries.
For the record, I am sympathetic to your stance, but I am not sure it is accurate.