"Right wing" isn't an exclusively economic designation, and hardline nationalism, suspicion of foreigners and progressives and determination to preserve the status quo (or restore a possibly imaginary
status quo ante) have been the defining characteristics of right wing thought since it originated in Revolution-era France reflecting where the parties loyal to the monarch and the aristocracy sat (Front Nationale even has a tenuous ancestral link to 19th century political movements to restore the monarchy).
If anything, the free market "right" is the anomaly; classical liberal economics ended up being designated as "right wing" because it built an ideological case against any meddling with status quo wealth distributions rather than because the original "right" and many conservative movements since haven't been as strongly protectionist as anything on the Left.