Eh, I definitely agree with that it's highly mythicalized, but the Shire parts of The Fellowship make it quite clear that class differences exist in the Shire, that there more reputable families and less reputable ones, that there are rich people (like Bilbo and Frodo) and that there are even people in relative poverty (but of course, since it's the Shire, they don't actually go hungry). Sure, the social inequalities are somewhat mitigated by Hobbit customs, but they are definitely part and parcel of the entire social makeup. I think that all is sort of ancapish, just not the stereotypical image of ancaps we have where everything is corporate; but it pretty much is rich people being rich without any pesky state interference and being looked up as the reputable people in society, while that all is presented as an ideal setting.