I found it funny seeing this leading picture in your text as well.
First, where did you get your definition of conservatism? The best one I heard is from Jordan Peterson, but have no time now to seek where it was.
My approach is not in labeling people but by looking at what their objectives are. In this aspect, especially in the United States, a division on conservatives and liberals is irrelevant. It reflects a split within elites.
As you may guess, I wrote about it on Medium. The short explanation is here: https://medium.com/@hak1010/conservatives-versus-liberals-1dfacfb83dfc
Here is the very long one:
https://medium.com/discourse/capitalism-versus-socialism-9ece51b5ff29
Supporting arguments are here:
https://medium.com/discourse/capitalism-socialism-and-communism-db09ad64b81d