Ayn Rand was a very interesting character, but certainly not a libertarian, she would be turning in her grave at the suggestion! She was the founded of the philosophy of Objectivism, and could be described politically as a minarchist (govt should only have police army and courts, and 'tax' should be paid only voluntarily).
As the clip shows, she was a strong supporter of Israel, not because of a belief in Zionism, but because of her uncompromising defence of a civilised nation against a savage aggressor. She argued that a free state has the right to invade any tyranny and install a new govt if it is in the interests of the free state - it is not moral to do it on some kind of liberal, humanitarian basis.
Most people here would reject a lot of what she wrote about as she was a solid atheist, dismissive of religion and basing a philosophy on Scripture or belief in G-D. She rejected faith and spirituality outright. She was a proponent of abortion, but was personally, morally against things like pornography and prostitution (as they are damaging and not in anyone's rational interest), but argued that it was an individual's right and no business of the state to intervene. She was also a strong individualist, arguing that your life is your standard of value, an advocate of rational self-interest (selfishness). She opposed the culture of altruism, as defined as a sense of duty to be charitable and to help others.