Albion, I can talk with a dozen self-proclaimed libertarians and they'll all have a different twist.
Certainly. When a persons concept is that the government ought to govern less...as little as is commensurate with preserving order, there are going to be differing views on what that level would be. That's no different from the differences of opinion among democrats and republicans as to what policies might bring about the level of action that is thought most appropriate for the achieving of
their beliefs.
To take an example that we have been discussing, libertarians (and
Reason magazine, FWIW) are likely to say that the restaurant owner in the Sanders situation--and the several bakers who got in trouble with gay activists--should all be permitted to serve whomever they wanted to...but not to beat them up when they entered the store or take their money and THEN refuse service!
The line between a small government and no government is important since the latter means acceptance of force and fraud, and that would be to allow the violation of individual rights and liberties which are at the heart of libertarianism.
And, as is the case with all political ideologies, there are people who will identify themselves as X or Y or Z and not actually be in step with those philosophies at all. That cannot be prevented, but we can take care when saying that a certain political ideology is such and such simply BECAUSE some person we encountered has styled himself as a follower of that cause.