Look up more of their beliefs.
Everyone lines up with some of their beliefs. Just like everyone lines up with some of the republican, democrat or green beliefs. You are correct they are a little looney.
In essence, the libertarians are, "I got mine, now I don't care if you get your's crowd." I like giving libertarians an argument that makes their head explode because it contradicts their belief system. You and I are neighbors. We live along the side of a mountain. You live below me. Running through our property from the top of the mountain down is freshwater. This is your source of freshwater as well as mine. I decide that I am going to pull the water from the top of my property into my property. I use it, I do stuff with it. At the end of my property, about 5' from our property line, I dump all my sewage and garbage into the water. The libertarians believe that you can do with what you have because it is yours. I ask what they would do then. They immediately come up with . . . wait for it . . . governmental solutions, aka regulations that stop me from dumping in my river. That is no longer libertarian concepts.
Rand Paul is named after Ayn Rand. She was a Russian who wrote a book called Atlas Shrugged. That is pretty much the bible for libertarians. Ron Paul, Rand's dad would cite that book often. I do like that she rejected faith and religion. I do find it funny that a lot of conservatives cherry-pick some of her beliefs. She was seriously against that. She was for abortions. She was against religion and politics mixing. I think she went too far in being an individual. We have a planet of ~8bn people. We are all on this rock together, not separately. What one person does can destroy us all. We have to work together.
I realize that this will raise a lot of feathers here. Libertarianism is like communism. On paper, in a world in a vacuum, it's not a bad idea. In reality, it has lots of issues.