I don't for any new characters I make, but as I port NPCs into new games I run, there are elements I try to retool to fit the Dresdenverse. Most of the Mage: The Awakening NPCs I've used work well as either White Council wizards (if they were Silver Ladder, Adamantine Arrows, Mysterium or Guardians of the Veil), or independent practitioners / focused practitioners (if they were s/e or Free Council).
Classic Mage is a little easier to convert over, aside from the the techno-traditions and the Technocracy. Most of them are just cultural influences to magic, which is a lot of how Classic Mage ended up working ("we all use the same Nine Spheres, but approach them differently). Interestingly, when I read Harry's constant dialogue of how magic is life, I keep thinking of the Verbenna.