Liberalism is inherently a right wing ideology. You have political liberalism which focuses on all these wholesome ideas like individual freedoms and democracy that are used to market it. But economic liberalism is the meat of the system and it centers around markets, private property, and wealth accumulation. So the whole idea that liberalism supports everyone’s freedom is fundamentally incompatible with enshrining private property rights as sacred because that removes them from political debate.

Equating private property with individual freedom provides the foundational justification for the rich to keep their wealth while ignoring the needs of everyone else. So all the talk of freedom and democracy ends up being just a fig leaf for capitalist relations.

Liberals are the people who support/defend/upholds neo-liberalism/capitalism.

So they are right wing.

They are also conservative if you think about it, because if the status quo is neo-liberalism supporting it is opposing change.

The so called conservatives are the ultra conservative.

Your question is just one more example of how the USAians are cooked.

How many mandatory History, Geography, and Philosophy classes did you have in your education?

Fascists believe in inequality based on race or gender.

(Neo)liberals believe in inequality based on class or wealth.

So they both believe in inequality. A rich man gets better healthcare, better legal help. Better education. Better food as a child. Have more say and hold more power. Social democrats try to ameliorate that a bit but fundamentally still believe rich man should be above others. This is all right wing from a socialists perspective. This shared belief in inequality also explains how easily they can ally themselves with fascists.