Wow, this is a first.
A Universal guest asking directions to Disney.
Could it be a sign of things to come?
Maybe I'll have to re-do my web pages in the other direction.
To answer the question, I'd say about 20 minutes.
You leave the USF area, head out to I-4 West to Tampa. Yes, it says Tampa, but you're really heading South West. Drive about 10 miles, and you'll see a bunch of exits for Disney. Take one of them and follow the signs.