Sure, sounds attractive !
But there is a big assumption here, and it is that libertarianism is special and different, it's not an ideology like marxism or catholicism. It's THE way. It is the only path to reason and logic and science, because when we reduce the role of the state, we reduce the part of ideology in society. Therefore it must be the less ideological system of all, the most logical, and thus the the right one.
Of course, liberatarians turn out to be just like any other political sensibility. They agree on broad things that makes them look like unite only because they are a tiny minority in the political landscape. But like any other sensibility, you reach a point in the debate where their own camp is split up in two and they will fight each other, etc. It wouldn't be the case if it wasn't an ideology, and they would all agree on core issues like the private/public fire stations, or even health wich should be considered like any other good for some, but not for some others (I can tell because I have some libertarians friends). The above comments about the protection from plagues are very interesting. It leads to the very interesting history of sewers.
Mises is the reflect of his century when we were too optimistic about science, we believed it would soon answer all the questions even in fields that looked like non-scientific, like human organization. It turned out science is indeed good for changing our lives in an indirect way, but unfortunatly not so good outside real scientific fields. It doesn't answer philosophical questions (if such a science existed, then it would be the right one to follow for organizing human societies).