The matter is simple. Yes or no: are they for market regulation & intervention? Yes. Therefore, they're not neoliberal.

You can hue & cry all you want, but words mean things. If you want a word that means not anti-market, then find that word. Neoliberal isn't it.

Your criticisms of those social programs & market regulations only amount to claiming they don't go far enough even though they definitely are market regulations & interventions. If they weren't social programs & market regulations, then the Republicans wouldn't have anything to cut & deregulate as they are doing: the current administration is rescinding consumer & labor protections proposed by the previous administration & they're restricting & defunding major public programs (Medicaid, SNAP, medical research, public health programs, national weather service, public broadcasting). While you seem to take these programs & regulations for granted, treat them like nothing, & act like they weren't a significant undertaking that could only barely scrape through our political obstacle course, they make a significant difference in people's lives.

What Republicans offer with their senseless trade war & cuts isn't protections to the working class, but the illusion of protections to some domestic businesses while exploiting other domestic businesses (reliant on international trade), labor (losing protections from defunded regulatory agencies & programs), consumers (shafted with consumer protection losses, tariff costs, less affordable goods & services) & while transferring income from the poor to the rich.

Calling market regulation & social programs neoliberal indicates you don't know the meaning of words. Market intervention & regulation isn't free, unregulated market, ie, neoliberalism. Any policy in support of a mixed economy with regulated markets suffices to not be neoliberal.