Restricting freedom of speech (through "hate speech" laws and the like) is a danger to democracy then since it limits people from expressing their ideas and putting political power behind them.
There are lots of communists, authoritarians, fascists, socialists, even neo-nazis in the US. All of which want to remove democracy however, a political belief isn’t punishable by death.
But we’re not talking about someone advocating slavery, we’re talking about US politics, which is essentially a slow motion hysterical melodrama over whether to spend 30% or 40% of GDP on social welfare, and on which programs.
Wishes to remove it, and speaks or acts in ways that further that goal.
There’s a false right-wing talking point that the US “is a republic, not a democracy”. The US is both a representative democracy and a republic, but the talking point equivocates on the meaning of “democracy”, conflating it with direct democracy, and this apparently fools far more people than it should.
The goal of people who push such propaganda is to weaken support for, and understanding of, democracy. There isn’t any doubt that they, and the people who unthinkingly repeat the propaganda, are a threat to democracy.