Say that a law was passed that required Facebook and others to remove posts critical of the US military. In this example, if Facebook fails to comply, people will be arrested.

Facebook would sue the government, saying that the law is unconstitutional as it violates the First Amendment. This would likely become know as something like Facebook et al. vs The United States. Unless we are in a bizarro universe, Facebook would win.

In this example, Facebook’s rights, as a publisher, are the ones being trampled on, not yours. It’s not a people’s case. In this scenario you likely don’t even have standing to sue (debatable, I suppose, but that’s a separate discussion entirely).

It’s worth noting that the closest thing to this scenario was with the ACSS key years ago. Not quite the same, but similar parties involved along a similar line of thinking.

But the issue at hand with Cloudflare isn’t the same. There is no constitutional issue at all. It’s just one business dropping a client.

In fact, the only way this could ever turn into a free speech issue, even in principle, is if a law was passed that forced Cloudflare to continue to host 8chan’s content.

You should really do some reading about what free speech actually means. You are so far off the mark it’s hard to take you seriously.