I think the problem here is that what you are talking about is "people with political disagreements" and what I am talking about are "bigots and genocide-supporters". There is nothing worthwhile about this ideology and allowing it a space to fester and flourish makes the space unwelcome to the people whose genocide they seek. This is a situation for the "We can disagree and still be friends unless your disagreement is rooted in denying my humanity" aphorism. We had a local dive bar called "Simon Legree's Bar" which is named, for those wondering, after the slave owner in Uncle Tom's Cabin. This was a space where white supremacists are welcome, and where white supremacists are welcome, there are countless others who are decidedly not welcome, implicitly if not explicitly.
I personally agree that there's nothing worthwhile with regard to an ideology that doesn't recognize the personhood of other people. However, I believe that treating this ideology as something to be quarantined, by pushing its adherents out of areas of engagement with society, is what gives it the opportunity to fester. Exposing the people who hold those beliefs to
other points of view helps to make them realize that what they believe in is bad, and that doesn't happen when you push them out of more diverse and expansive venues.
If you don't allow someone to patronize the local bar, they'll go to a bar that's been started by people who were also kicked out, and now suddenly they're organizing. Far better for them to mingle with people at the same bar who don't think as they do, so that they can meet people who aren't like them and see that their prejudices are unfounded. That's without getting into the issue that, in contemporary rhetoric, there seems to be a lot of conflation between the people you're talking about (i.e. bigots) with people who
aren't genocide supporters, but are still notably conservative. This lumping together doesn't help, as it pushes them further into the camp that the truly bad people occupy.
I never said and would never agree with the concept that "talking to people you disagree with doesn't work". We have plenty of examples of it not working but also quite a few examples of it working. What I will say is that "talking to people who deny your right to existence is not a moral obligation." I am Trans. I do not talk with transphobes, because (a) that takes a crap ton of personal and spiritual energy from me, (b) it's not necessarily safe for me to do so, and most importantly (c) I shouldn't have to. I know that if there is a space where transphobes are welcome to spread transphobia, it means that I am not welcome.
I wasn't attributing that statement to you; I hope that's clear. That said, I'll reiterate that I think it's overbroad to say the people we're discussing are necessarily refusing to acknowledge your personhood. To be clear, some of them are, and that's not something which should ever be considered legitimate, but I'm of the opinion that there's a large number of people who are put under that category who don't actually hold that view.
Now, changing their minds certainly requires a great deal of emotional labor, and if you don't want to take that on it's certainly okay. But there should be an acknowledgment, I think, that opportunities are being lost to
actually make things better - via peeling away (potential) supporters of what would otherwise be noxious ideologies - in favor of simply trying to exile them from society, which doesn't work because they still live here and still take part in it. The way to "win" this particular conflict is via changing hearts and minds, which you (in the general sense of "you") can't do if you just say that they're Nazis and deserve to be thrown off of every platform on which they're found.
One cannot make an appeal to a greater ideal ("there can be no censorship because it is always bad") and then outright dismiss the answer to that ideal because the situation is too small a scale.
That's not the ideal, nor is Popper's Paradox the answer in this particular instance. The publication of things which mock your value system, unto itself, is not necessarily an attack on your personhood which you must be defended from.