Thank you for that comment - it gets to the underlying feeling I didn't express.
A problem with any form of regulation of speech is that there can be speech that is abhorrent. I feel there is an underlying idea behind the strong stance on free speech, namely (to quote @elicash) "the way to address speech that feels abhorrent, that feels harmful, that literally denies the humanity of people, that one way to do that is with more speech and not less".
An obvious way to do that is to just blast noise over someone's speech. In a very absolutist's view on free speech, that works.
In a slightly more nuanced view, you would argue that heckling / making noise to drown out speech is not free speech but weaponising speech. And, you may continue to argue, weaponised speech does not deserve protection.
I would counter that in the last few years, I have seen US politicians and certain TV channels doing things with speech which -- in my view -- easily cross the bar of "weaponising speech". (Note: I am sure most of you can come up with instances of this from either side of the political divide, so I am not even going to hint at examples. Your examples work equally well as mine.)
To me, this raises the question of whether the government should step in and stop this sort of speech. That sounds terribly iffy.... major eeks! On the other hand, if not, why would we allow that while not allowing other weaponisations of speech? Are some weaponisations of speech worse than others? Feels exploitable.... Or is it because regular citizens deserve less rights than politicians? That also feels very iffy...
I'm not sure what a good answer is, nor that any country has found one. (That includes the USA.)