No, the claim is not that if some people do something which is contradictory, it is not contradictory. The point is that I do not have such confidence in the infallibility of my reasoning that it bothers me not in the least if thinkers who started me down the path I am following have radically different conclusions. By your reasoning, it follows that Rothbard was not a libertarian.
Libertarianism is not a religion, it is a political philosophy. As such, it doesn’t have a concept of sins. Once again, do you ride buses? Have you ever called 911? Wait, if I’m a sinner for having worked at a state school, is Ron Paul the ultimate statist for having worked in the government? Are all doctors sinners if they receive medicare payments?
There are certain areas of the economy which the state has monopolized. That is a fact. We believe that the state shouldn’t do that. We will fight to get the state out of it. From none of this does it follow that we have to leave that sector of the economy untouched. It is not the fault of libertarians that the state has seized a monopoly, and there is no contradiction in riding on a bus while advocating for the elimination of the bus service. After all, the libertarian claim is not that there should be no buses, but rather that the market should provide buses. We are not anti-bus, and we didn’t create the situation where the government owned the buses. There are reams of literature on this question, which has been looked at by Rothbard, Block, Long, and others.
Yes, statist systems can accomplish things. Can they accomplish things in a beter way than the market can? Only by producing harm in other areas of the economy. If the state raised taxes to 100% and destroyed every other sector of the economy, it could build a train system with a better on-time record than the market is likely to provide. That’s because people would rather pay less than 100% of their income and accept worse train performance. Fact still remains that that particular overfunded government program would provide a better service than the market would - because such a high quality service is not desirable or profitable.
Yes, the price of public education is distorted. I said that in my first post on this topic. Once again - the public service produces more philosophers than the market desires. The philosophers it produces are real philosophers - and increased numbers of programs and of graduates produces higher quality philosophers. None of this implies in the least that public education is desirable, good, or morally justifiable. Those unemployed very good philosophers could have been well-paid engineers if the government hadn’t distorted the market for education. No one is analyzing public education as if it existed on the free market. We are analyzing it as something existing in a distorted market. Economic laws do not cease to apply because government is involved in a sector. Austrian economics shows that the laws of economics are universal and apply in all situations. The analysis is not complete simply because you hiss “state involvement” and it does nothing for your argument to pretend that it is.
If you argue against state education on the basis that it can never, under any circumstances, produce a good product, you will succeed in giving people an excuse to ignore you.