There is only one important caveat, however. While the Right may accept all human inequalities, whether of starting-points or of outcomes, as natural, the libertarian would insist that only those inequalities are natural and should not be interfered with that have come into existence by following the ground-rules of peaceful human interaction mentioned at the beginning. Inequalities that are the result of violations of these rules, however, do require corrective action and should be eliminated. And moreover, the libertarian would insist that, as a matter of empirical fact, there exist quite a few among the innumerable observable human inequalities that are the result of such rule-violations, such as rich men who owe their fortune not to hard work, foresight, entrepreneurial talent or else a voluntary gift or inheritance, but to robbery, fraud or state-granted monopolistic privilege. The corrective action required in such cases, however, is not motivated by egalitarianism but by a desire for restitution: he (and only he), who can show that he has been robbed, defrauded or legally disadvantaged should be made whole again by those (and only those) who have committed these crimes against him and his property, including also cases where restitution would result in an even greater inequality (as when a poor man had defrauded and owed restitution to a rich one).
The egalitarian world-view of the Left is not only incompatible with libertarianism, however. It is so out of touch with reality that one must be wondering how anyone can take it seriously. The man-on-the-street certainly does not believe in the equality of all men. Plain common sense and sound prejudice stand in the way of that. And I am even more confident that no one of the actual proponents of the egalitarian doctrine really, deep down, believes what he proclaims. Yet how, then, could the Leftist world-view have become the dominant ideology of our age?
At least for a libertarian, the answer should be obvious: the egalitarian doctrine achieved this status not because it is true, but because it provides the perfect intellectual cover for the drive toward totalitarian social control by a ruling elite. The ruling elite therefore enlisted the help of the “intelligentsia” (or the “chattering class”). It was put on the payroll or otherwise subsidized and in return it delivered the desired egalitarian message (which it knows to be wrong yet which is enormously beneficial to its own employment prospects). And so the most enthusiastic proponents of the egalitarian nonsense can be found among the intellectual class.
Typically, in order to maintain their intellectual status as libertarians, the left-libertarians do so quietly, surreptitiously or even unknowingly, but in effect, in giving up this fundamental requirement of justice, they replace private property and property rights and rights violations with the muddled notion of ‘civil rights’ and ‘civil rights violations’ and individual rights with ‘group rights’ and thus become closet-socialists.
You cannot be a consistent left-libertarian, because the left-libertarian doctrine, even if unintended, promotes Statist, i.e., un-libertarian, ends.