Yeah, that's not accurate at all.
Libertarianism is definitely one of those topics where two people can have two very different definitions. How I was brought up with it is like this.
Libertarianism: an extreme laissez-faire political philosophy advocating only minimal state intervention in the lives of citizens.
"
Right-wing libertarianism refers to libertarian political philosophies that advocate negative rights, natural law and a
major reversal of the modern welfare state.[85] Right-libertarians strongly support private property rights and defend market distribution of natural resources and private property.[86]" Wikipedia
Libertarians are strong proponents of negative rights - the right to be left alone. The Government's obligation is to abstain from interfering with one's individual freedoms or liberties. It doesn't emphasize positive rights though - like the right to an appointed attorney, a speedy trial, or regulated utilities like roads, food and drug regulations, anti-discrimination regulations, etc.
Many self proclaimed Libertarians such as Rand Paul are against any use of force... it's an extremist position by it's very nature. So when Rand Paul is asked if he agrees with the Civil Rights Act, he has to admit that no - he doesn't. He doesn't believe in the government's ability to use force or to regulate behavior. instead it's all up to the market. He would argue that if people don't like restaurants that discriminate against gay people.. then those restaurants will cease to exist. Just let the market course correct on it's own and abstain from impinging the business owner's right to trade and operate as he or she sees fit.
The movement, as it is today, takes large parts from Ayn Rand's Objectivism, which purports that self-interest is moral while altruism is immoral. Rand constantly pushes a false choice between pure capitalism and pure socialism, and to her - taxation is theft. That means no roads, no classrooms, no food and drug administration, no research and development, etc. etc. etc. Survival of the fittest is the only moral choice, she would say.
I'll give you that Libertarianism is very diverse today though. It's historical context doesn't matter so much, because folks take on and off Libertarianism like it's a coat. "I'm a Libertarian because I don't believe police have the right to force our compliance.. but no, that doesn't mean I'm cool with companies putting methamphetamines in our water... psh, you don't get it."
How I've learned it:
Libertarians - against government interference on social and economic issues.
Conservatives - For government interference on social issues but against government interference on economic issues.
Liberal - For government interference on economic issues but against government interference on social issues.
Authoritarian - For government interference on social and economic issues.