Assuming you're not just trolling, which, judging by your post history is... Unlikely... I'm going to suggest you read up a little bit about the basics of anarchism. Specifically anarchocommunism, as it is the most common tendency to run into online. There are several foundational texts that are written in English and Spanish. Some authors to consider: Peter Kropotkin, Mikhail Bakunin, Emma Goldman, Pierre Joseph Proudhon. For something more contemporary, check out David Rovics.
For real world examples of actually existing anarchist societies, read about the Spanish Civil War, a good book I can recommend on the subject "The Anarchist Collectives : Workers Self-Management in Spain, 1936-1939" by Sam Dolgoff
Another decent recommendation is The Soul of Man Under Socialism by Oscar Wilde.
For a short read with good explanations behind the principles of anti authoritarianism check out Law and Authority by Kropotkin.
For something to get the heart thumping a bit more, We Do Not Fear Anarchy, We Invoke It by Robert Graham.
The idea that political thought would be repressed in an anarchist society is... An interesting take. Anarchists generally want to function based on some kind of collective decision making process, such as consensus. There are also anarchist adjacent trends, such as council communism that are worth looking into. In a pinch, "Google Murray bookchin" and find yourself somewhere in the neighborhood (or at least the next one over).
And to answer your question outright, if a bunch of anarchists decided to form a society large enough to be viable and self sufficient, one of two things would happen: the US would turn it into a glass parking lot or ... The US would turn it into a glass parking lot.