Ideationally, beliefs are the projections of desiderative processes (not cognitive processes). As ideas, they are desires (not thoughts).
Interpersonally, beliefs are proposals: offers/commands (not propositions: statements/questions). In terms of modality, beliefs are modulations: inclinations/obligations (not modalisations: probabilities/usualities).
Beliefs include ideologies. Ideologies are desires, offers/commands and inclinations/obligations.
When the rich symbologies of mythologies are misconstrued as facts to be believed, mythologies become desires, offers/commands, and inclinations/obligations, and function on a par with ideologies.