I find it somewhat odd that you're getting into the nitty gritty of what "libertarian" means and you continually capitalize the word. Most people who talk about such things take "big L" Libertarian to mean the (widely derided--even amongst libertarians) Libertarian Party in the US and "little l" libertarians to mean those who subscribe to a libertarian philosophy.
I don't think most Objectivists ("Randians" as you call them) would consider themselves libertarians. That's kind of the point of Rand's philosophy--she wanted a defined moral philosophy, not a loosely defined political goal. Her books have, however, been enormously popular and influential amongst libertarians (and non-libertarians) of all stripes. You don't have to be an Objectivist to find merit in Rand's writings, and you can be a libertarian without enjoying Rand's writings. It goes both ways.
Ultimately, if the "libertarian" label is meaningless enough to socialists, anarchists, and some fairly traditional Republicans and Democrats, it doesn't seem to make any sense to complain about Objectivists (who themselves don't want to be called libertarians) being in the tent. I prefer to define libertarian much more narrowly and with the full knowledge that I exclude some (like you) who would consider themselves libertarians.
I exclude socialists and those who _generally_ want more government involvement.
I exclude anarchists and those who _generally_ want no government.
I exclude one-issue libertarians (the traditional example was marijuana legalization).
What's left (big IMHO) is the core libertarian--people who generally want more person freedom and personal responsibility, who generally want victimless laws and regulations repealed, and who generally prefer smaller political structures to bigger political structures. Still kind of broad...
I would consider myself a green libertarian. I want people to basically be able to do whatever they want, with the caveat that earth is a shared resource, and when you consume / emit these shared resources you are effectively using force on others. I think I'm fairly alone in my views here, but I would be more loose about many regulations while far more stringent in regulations of things like noise regulations, small motor emissions (noise and co2), bright lighting at night, etc. Somewhat like Switzerland.
I'm also fully aware that my stand on some of those issues would make many say that I'm not any kind of a libertarian!