Clearly they both define who you are. Are you really making this argument?
Possible ReplacementsAgility: Stamina, Archery, Security, Sneak
Endurance: Health, Stamina
Intelligence: Magicka (absolutely a replacement), Conjuration, Alchemy, Enchanting
Personality: Speechcraft, Illusion
Speed: Stamina, Health, Sprinting ability
Strength: Stamina, Health, One-handed, Two-handed, possibly Hand to Hand (unconfirmed skill)
Willpower: Magicka, Stamina, Alteration, Destruction, Restoration
Luck, to me, should remain a random and undefined concept.