Taken seriously, the doctrine of "no appeasement" on the right would mean we are stuck in perpetual war, always doomed to be on the offensive, always dedicated to gobbling up more of other people's territory and wealth even at the expense of living in constant dread of being blown up and being forced to give up the civil liberties which had made American civilization great.
It would never be possible to negotiate a truce with any enemy. That would be appeasement. It would never be possible to compromise. That would be appeasement. It would never be prudent to withdraw troops from a failed war. That would be appeasement. In other words, the right-wing doctrine of "no appeasement, ever" actually turns you into Hitler rather than into Churchill.