I think your interpretation, even if correct, is not the current position of the legislature. This post and the thread attached to it is about how it's currently happening. Personally, I don't see a future where you don't have a digital ID. If the government can compel you to provide an ID to, say, travel or operate a vehicle in public, I don't see a compelling 1A argument that it can't do the same to operate computing device on the public internet.
While I don't agree on your characterization of the legislature, it doesn't even matter. That's the whole purpose of having checks and balances, and a Supreme Court that can strike down unconstitutional legislation.
And your analogy between driving a vehicle and posting on a website doesn't work because there is no constitutional protection for driving vehicles or taking commercial air flights. However there is a constitutional protection for speech, above all political speech. That's the difference.