ax to grind vs idée fixe

ax to grind

noun
  • A proposition or point of view to advocate, especially motivated by self-interest. 

  • A grudge or grievance, with implications of confrontation. 

idée fixe

noun
  • An idea dominating the mind and maintained despite evidence to the contrary; (loosely), an obsession. 

  • A recurring musical theme; a leitmotif. 

How often have the words ax to grind and idée fixe occurred in a corpus of books? (source: Google Ngram Viewer )