Neo-liberalism does exist. Tho it is poorly defined and wildly misunderstood.
Neo-liberalism can more simply be described as Capitalism that adopts the aesthetics of social progressivism out of convenience.
It's really not that complicated.
It's Nike paying Colin Kaepernick millions for making ads while subcontracting its manufacturing to a factory in Bangladesh that uses child labor to make its gaudy overpriced crap.
It's Congress throwing billions at SpaceX (I'm not against spending money on space exploration and even using private contractors for it) while defunding the National Science Foundation or politically contentious projects at NASA (like climate research).
It's shit like mandating people to buy private insurance from private companies rather than just fucking setting up a tax and insurance infrastructure.
That's neo-liberalism. Capitalism with the AESTHETICS of progressivism.
Right wingers/fascists just tend to get mad at Capitalism whenever they feel that it doesn't serve their particular set of priorities and turn it into some Elders of Zion conspiratard bullshit.