Republican Party on the political compass
The US Republican Party combines market-leaning economics with a socially conservative and nationalist current. On this map it sits on the moderate authoritarian right, not at the libertarian edge.
Economic +4.0, social +3.5. That point lands in Conservatism.
Conservatism favours existing institutions, gradual change, private enterprise, and a common culture. On this map it is right of centre economically and moderately authoritarian: order, family, and nation outweigh experimental liberty.