The Anarcho-Capitalist tradition is what libertarianism becomes when it refuses to flinch. Every other freedom-loving tradition draws a line somewhere and says: the state may do this much — keep the courts, the police, the army — but no more. Your tradition asks the question none of the others will sit still for: if coercion is wrong, and the state is coercion organized and made permanent, then by what right does it do even that much? The answer your worldview reaches is that there is no such right — that every function the state claims as uniquely its own, from roads to law to defense, can in principle be supplied the way everything else is, through voluntary exchange and contract. You are not a moderate who wants less government. You are the position that takes the libertarian premise to its actual terminus and declines the comfortable stopping points.
The American root is Lysander Spooner, a nineteenth-century abolitionist and legal theorist who turned the logic of consent against the government that claimed it. In No Treason, Spooner pressed a deceptively simple argument: a constitution is a contract, contracts bind only those who sign them, and almost no living person has ever actually consented to be governed — so the state's authority rests not on agreement but on the unexamined assumption that it exists by right. Strip away the ceremony, he argued, and government is a band that takes your money and calls it taxation, and your obedience and calls it law. That natural-law case against the legitimacy of the state is directly ancestral to everything that follows.
The economic engine arrives with Ludwig von Mises, and with it the most rigorous case ever made that markets coordinate what no planner can. Human Action is its monument: the argument that prices carry information no central authority can gather, that every intervention distorts the very signals that make rational economic life possible, and that the market is not a policy but the only mechanism by which a complex society can know what to make and for whom. Mises is decisive for you — and also where your tradition takes the step he would not. He remained a classical liberal, holding that the state, minimal and bound, still had a place. Your worldview applies his own logic to that last exception: if intervention always distorts, why is the state's monopoly on law and force the one intervention that improves things?
Murray Rothbard is the figure who took that step and built the system, and he is the founder of your archetype in its modern form. Rothbard fused Mises's economics with a natural-rights ethics built on a single axiom — that no one may initiate force against another's person or property — and followed it without exception to the conclusion that the state, which funds itself by compulsory taxation and forbids competition in law and defense, is simply a criminal enterprise that has won. In its place he sketched a society of private courts, competing defense agencies, and law that emerges from contract rather than command. The entire contemporary anarcho-capitalist tradition descends from that framework.
From Rothbard the tradition splits into two great defenses of the same conclusion, and the split is over why you should believe it. David Friedman, in The Machinery of Freedom, makes the consequentialist case: forget natural rights, he says — a stateless market order should be preferred simply because it would work better, because private law and protection would emerge, compete, and serve people more efficiently than any monopoly. Hans-Hermann Hoppe drives in the opposite direction, toward an even harder apriorism: his argumentation ethics claims that the very act of arguing presupposes self-ownership, so that anyone who disputes private-property anarchism contradicts himself in the act of disputing it. One tradition, two foundations — the empirical wager that freedom is efficient, and the rationalist claim that it is undeniable.
What you inherit, then, is the courage — or the stubbornness — to refuse the arbitrary line. From Spooner, the demonstration that the state's legitimacy is an assumption, not a fact. From Mises, the proof that intervention distorts what it touches. From Rothbard, the systematic conclusion that this applies to the state's own core functions without exception. From Friedman and Hoppe, the two roads to the same destination. The throughline is consistency pressed past the point where everyone else gets uncomfortable: you are the one position in the family of liberty that cannot be accused of drawing a self-serving line, because you draw none. The tension you carry is the one your critics never tire of and your tradition has never fully closed: whether private defense agencies in a stateless world would in fact stay peaceful and competitive, or whether one would grow, conquer the others, and reinvent the very thing you abolished — whether the state is a disease the market cures, or one it keeps catching. But you hold the cleanest claim in all of political thought: you are the people who took the premise everyone says they believe — that it is wrong to force peaceful people — and simply declined to make an exception for the men who do it in uniform.