As a point of observation: Cato, Reason, and Mises are all libertarian sites. So while they are conservative concerning economics, they are liberal concerning social issues. It’s impossible to peg them like this on a linear left-right scale. As is typical on most left-right charts, they peg libertarians as conservative since they don’t know where else to put them since most people think capitalism on the right and communism on the left.
And here’s another, different one.