Conservatism is a philosophy or a way of looking at the world. You can always look at the world as you wish. One has one's philosophy, no matter if nobody else shares it.
The Republicans are a political party. A party's an institution, and institutions can run into real trouble in the world. Parties that are unsuccessful for long periods run the risk of dying.
The deeper question is what are bedrock principles and what are the expedients and compromises that are a part of political life. Where do the things that one can compromise on end, and those one can't compromise on begin?
To begin with, compromise is greatly over rated. Anything only half-right is also half-wrong.
An ideal America would be non-partisan and wholly pro-America. That doesn't exist. So we try to work with bi-partisan. That stopped working once the DNC left the reservation and became a front for international socialism.
So a compromise between anti-American international socialists and pro-American conservatives is what exactly? Today's Republican?