How about this

Humanoids use humanoid morality and logic. They have free will and can make culture of any alignment.

Giants use giant morality and logic. They have free will and can make culture of the alignment based on their place on the ordning.

Beasts use animal morality and logic. If intelligent, they still act like beasts just smart.

Fey use fey morality and logic. Their will and culture is bound to their lord. Their logic is weird but still logical. Their culture is warped reflections of those of humanoids. Only fey with no master like a hag or royal fey, has free will.

Fiendd use fiendish morality and logic. Their will is tied to their alignment and their morality barely exist. Their cultures are always stolen and corrupted from others. LE devils are always LE. CE demons will always revert to CE. NE Yugoloths never stay from NE.

Celestials use the morality and logic of the gods. Their brains are always in tune with the god their serve.

Aberrations use use alien morality and logic. It is too alien to anyone but them and their kin. Attempting to understand them is a foolish sacrifice of one's mind.