Alt-Right would probably describe me better if the term wasn't so associated with bad things, I believe that women shouldn't have suffrage and stuff like that, which might be considered un-libertarian, but Libertarian worked. I like conservatives, but I'm not one; conservatives don't conserve anything, and they are just liberals but always 50 years in the past.
Libertarians that are like really Libertarian though believe in stuff like Capitalism, legalized marijuana, and same-sex marriage.
They are like the right because they believe in free markets and stuff, and they are like the left because they believe in freedom to do what you want with your body. Many libertarians believe that being gay is unethical, but they believe you shouldn't be fined or anything for it.
Libertarians wouldn't necessarily say they want to be as close to anarchy without starting fires though. They would say that you should only have government where necessary. They believe that a government is a monopoly on violence, and that violence should be used in only extreme scenarios. They believe governments are often corrupt and to monitor them, and not let corrupt people seek after such positions of power.
In my own understanding of Libertarianism, I'd say a lot of them would also believe the consequence you assign to a crime should be specifically what one deserves for breaking the crime. For example, if you make a law that says anyone who steps on your yard gets a week of jail time, the damage caused by stepping on your lawn better be worth a week of jail. They don't believe in making excessive punishments to laws just to get people to do them less. This is contradictory to Capitalism, like let demand fit supply, and don't screw with it. A few Libertarians would even say that since making a law requires using a cop who threatens to shoot someone to enforce it, you should only make a law if you would be willing to shoot someone for breaking it.
I believe that we should have a judicial system but little more. Just like it says in the 6th noahide law, and what the Jews practiced before they took a king, which God himself told them was a bad idea.
So I'm pretty Libertarian.