Biden isn't a "neo-liberal shill" he's a boring, middle of the road corporatist.
Republicans and Democrats have been moving steadily to the right for the last 40 years. So now, the Democrats are where the Republicans used to be in the 1980s: friends of banks, insurance and pharmaceutical companies. And the Republicans have moved all the way into an insane asylum.
There are dictionaries that tell you what the words "liberal" and "conservative" mean. Quit relying on your own snazzy spidey-sense and check them out.