Witches: Practical, down to earth magic that moves like a knife thru water. Most of the heavy lifting is done with psychological tricks and manipulation. Don't fuck with stuff you don't understand yet, and don't go to the Bad.
Wizards: Techbros who can summon sex demons and warp spacetime. Common sense need not apply, if there's a big red lever that carries a sign marked "do not pull under Any contingency"...
A wizard will have pulled it before the paint is dry just to see what happens.
@Motodrachen Can witches split me in two, or otherwise help with my conflicting identities?