Democrats vs Republicans would be more accurate imo. OP, it sounds like you’re not using left and right in the classical politcal sense, but in the way these terms are thrown around nowadays, especially in the US – leftism being neoliberalism, and the right being…whatever it is now. Neo-conservativism? Both are right wing ideologies.
In modern politics, the term Left typically applies to ideologies and movements to the left of classical liberalism, supporting some degree of democracy in the economic sphere. Today, ideologies such as social liberalism and social democracy are considered to be centre-left, while the Left is typically reserved for movements more critical of capitalism,[9] including the labour movement, socialism, anarchism, communism, Marxism, and syndicalism, each of which rose to prominence in the 19th and 20th centuries.
Democrats vs Republicans would be more accurate imo. OP, it sounds like you’re not using left and right in the classical politcal sense, but in the way these terms are thrown around nowadays, especially in the US – leftism being neoliberalism, and the right being…whatever it is now. Neo-conservativism? Both are right wing ideologies.
quick wikipedia snippet
Neo-reaction