No, you’re confused, bro. ‘Liberal’ is both a political identifier people use for themselves and others, and a series of policies and political ideals. Neoliberalism is a series of economic policies practiced by conservatives, regardless of the (D) or ® next to their names. If we were going to describe someone as a neoliberal, which people generally do not, the person being described would be almost the exact opposite of someone who would be described as liberal. The thing you said about being fiscally one way and socially another isn’t the definition of neoliberalism, that’s just an old line people say when they’re ashamed of being conservative and don’t want to come off dumb.
He literally just got the endorsement of one of the biggest trade unions in the world, who said he does more than any other president for the workers. It’s pretty early for endorsements, maybe you’ll be right, but we’ll have to wait to see.