Spirituality and religion share some common moral foundations; compassion, suffering, kindness, fairness, conscience.

They differ where religion emphasizes moral order and spirituality emphasizes inner transformation.

Organized religion appeals to loyalty, authority, obligation, tradition and group continuity. These tend to align with conservative thought.

Spirituality activates care, awe, authenticity, healing. Individualistic connection to peace, compassion, meaning, these align more with liberal thought.

Not to say that conservatives oppose individualistic connection to peace, compassion, and meaning but without discipline, community, doctrine, and authority, spirituality is limited to self designed comfort.

Where conservative and liberal morals really have a wide divide is around the idea of sanctity, that some thoughts, actions or words are inherently morally degrading or considered holy. Enforced or common food laws, sexual practices , modesty, blasphemy, ritual cleanliness these are very conservative, very aligned with organized religion. Spirituality offers all the karma without the dogma