We joke, but we've all seen what Disney has accomplished with Star Wars. Beyond the sequel trilogy, they have expanded the IP and have built on the industry it already was, to varying levels of success.
Beyond spin-offs, which I'm sure are already in development, there will be surge of merch we can't imagine. Doctor Who stuff will be anywhere Disney sells. There will be Mickey Mouse collectable pins with him dressed as various Doctors, popping out of the TARDIS. I actually think that will look cool, but I digress...
What the overall affect on Doctor Who as a whole will be, I cannot say. But it will be interesting to see what they do with it.