Nazis were, and are, against everything liberals stand for.
The word Nazi stands for national socialist party. Democrats are much more aligned with socialists. Democrats are much more likely to use fascist methods to shut down opposing views.
OG Nazis hated socialists. They had a state capitalist system, and were extremely nationalistic (another part of the term), which liberals certainly are not. They capitalized on traditional values, like religion (had to be Christian to join SS), homophobia, gender roles, and loyalty to the state. These are all conservative beliefs, not liberal.