It appears that you are engaging in a logical fallacy by utilizing capitalism, which I assume is not something you hold in high regard, to silence someone's perspective during a discussion and attributing the blame to capitalism.

Capitalism is an economic system in which the means of production, distribution, and exchange are primarily owned and controlled by individuals and private companies rather than by the government or public institutions.

None of the things mentioned above are related to capitalism's coverage of free speech. It seems that your intention is to suppress those who hold differing opinions, and you are using the assumption that the silenced individuals support capitalism to justify your actions.

A logical fallacy is a flawed argument that can be revealed by reasoning. For instance, someone suggesting that attributing blame to capitalism is a way to silence another's speech. That is a logical fallacy, because it omits any explanation of how such an attribution could silence another person. :-)

Seriously though, do you not see how private ownership of communication services impacts the question of who is allowed to use those services? And that if there were a truly public service, how that would dramatically change the situation with respect to First Amendment rights?

For the record, I'm a huge fan of capitalism. But it surprises me how many people don't understand that it has drawbacks, and that we should be honest with ourselves about those drawbacks. It's ok to say that you're pro-capitalism but that you also think that the Internet (or at least some of it) should be a public utility, for instance.