Disagree w/your timeline.
Our sole principled conservative party was the Southern Agrarian Rural Democrats of Jefferson, Madison, Calhoun, Randolph; among others, which being fatally tarred w/slavery, drove it out of existence.
W/the victory of the North, the GOP which represented the Mercantile and later the Industrial class, became ascendant following the Civil War, until Hoover. The GOP has always been progressive soft left and destructive of the primacy of States Rights, the original intent and vision of our Founders. The GOP was the instrument of centralized power in DC from the first day of its existence in 1856 as it goes hand in hand w/its label as the party of big business aka crony capitalism.
I hesitate to necessarily pigeonhole the parties pre-1896, because the concepts of left/right become foggier viewed through today’s ideological lens. Each of the parties had their differing wings and factions from the beginning, some held longer than others and evolved (Jeffersonian Republicans became Jacksonian Democrats) or collapsed (Federalists, the irreconcilable split between the Cotton and Conscience Whig factions and the pro- and anti-slave factions of the Democrats).