I hear you! I offer my position that neoliberals are conservatives. They have more tact and are more open to slight progress to attract votes, but they are still just conservatives who serve only corporations and billionaires to enrich themselves.
I also offer my position that the right spends a great deal of time re-defining words to use as weapons against the left. They will insist that authoritarianism and fascism are both leftist ideologies. Don’t give them even an inch. For example, they have spent decades calling all communism a left-wing construct. It is not.
There are some left-wing flavors of communism, but current Chinese communism and the old Soviet (Marxist-Leninist) communists are both extremely right-wing and conservative, even by their own definitions. Don’t let tankies (conservatives pretending to be leftists with conservative viewpoints) redefine words. Push back and make them look stupid. Wikipedia will absolutely back you up on these points if angry leftists like me aren’t around to jump in.