By this helpfulprofessor.com image’s definition of libertarianism, private property is sacrosanct, so it is anathema to socialism.

Hang out in different circles and you’ll get wildly different meanings for liberalism, conservatism, and libertarianism.

In some circles, libertarianism advocates for the “night-watchman” capitalist state. In some other circles, libertarianism on its own is neither left nor right, because for them there is left-libertarianism and right-libertarianism.

There’s also so called “liberals” which is not more than a hate speech.

It seems that you think people are using “liberal” as an slur, but we have a specific meaning in mind.

First sentence from https://en.wikipedia.org/wiki/Liberalism :

Liberalism is a political and moral philosophy based on the rights of the individual, liberty, consent of the governed, political equality, the right to private property and equality before the law.

Second paragraph from https://en.wikipedia.org/wiki/Private_property :

Private property is foundational to capitalism, an economic system based on the private ownership of the means of production and their operation for profit. As a legal concept, private property is defined and enforced by a country's political system.

So liberals, then, are capitalism stans.

This is in stark contrast to the first sentence from https://en.wikipedia.org/wiki/Socialism :

Socialism is an economic and political philosophy encompassing diverse economic and social systems characterised by social ownership of the means of production, as opposed to private ownership.

We are not “conservatives” or “liberals” in every topic.

Who are “we”, and how is this related to “topics”?