I'd go with:
Charisma-based = Spiritual or Devotional traditions
Intuition-based = Visceral or Natural traditions
Logic-based = Practical or Analytical traditions
For reference:
Charisma-based traditions = Aboriginal, Aztec, Black Magic, Christian Theurgy, Path of the Wheel, Shaman, Shinto, Vodou
Intuition-based traditions = Buddhism, Chaos, Druid, Egyptian, Psionic, Sioux, Wicca
Logic-based traditions = Hermetic, Hindu, Islam, Norse, Qabbalism, Wuxing, Zoroastrianism
Personally, I would swap Norse and Egyptian, making the former Intuition-based and the latter Logic-based, but it's never come up at the gaming table.