culture war

noun2

1. •
   [in the plural] Conflict between different ideological groups, especially political conflict for cultural dominance between liberals and conservatives in the United States.

   • Bush’s other accomplishments in office include […] prolonging the life of the severely brain-damaged Terri Schiavo in a cynical bid to burnish his culture wars résumé. — 2015
2. •
   A political struggle for control over cultural institutions.