right-wing "libertarianism" is a non-philosophy

Liberalism is a reaction to feudalism. It aims for systems of governments that maintain:

1. Bureaucratic neutrality and equality under law (ie. not kings)
2. Governmental transparency and input (ie. will of the governed)
3. Capitalist property relations and legalist dispute mechanisms (ie. courts)

Libertarianism originated as a term for anarchists, but now roughly means conservatives. Libertarianism attempts to bifurcate something which it calls "the Market" from "the State".

To avoid this confusion, the economic system has been moved out as libertarianism.

This is simply not true. This is not how libertarianism originated, and the imagined bifurcation of economic state and governmental state is extremely modern.

For example, accessibility improvements of government buildings is a liberal movement.

The Americans with Disabilities Act, signed by the George H.W. Bush, is a mechanism of welfare reform which established a tort system of accessibility. The bill used cost-burden language to remove people with disabilities from public assistance and require them to individually litigate for accessibility via the court system. Please review any congressional testimony on the bill.

Minimizing the control over capitalism is a libertarian movement.

Both movements are capitalist. Governmental regulatory frameworks provide reliability and transparency for resolving disputes between capitalist actors. What do you mean by "control over capitalism"?

There's also so called "liberals" which is not more than a hate speech. We are not "conservatives" or "liberals" in every topic.

You've scare-quoted so many of the relevant words that it's hard to understand what you mean.

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”?