I'm not very familiar with IB and I hope someone can reply who is, but I just wanted to say that it seems to me that WBT can be incorporated in to any type of program.
The classroom management side could be used regardless of anything else you do. (Check the
Levels tab for more info).
The common procedures are also very helpful for anyone.
I assume you are referring mostly to the teach-ok, mirror, switch type of techniques. While I use these frequently in my classroom, it is not the only thing I do. I still have independent work, centers, small groups, etc. throughout the day. These WBT strategies become a wonderful way to enhance the direct instruction portion of my day. I often use it while teaching vocabulary (in any subject) and reviewing material too. Student could easily use many of the brain toy strategies while discussing the results of their inquiry based learning.
I'd suggest starting out with a couple of ideas that you want to try and add more as you become comfortable with it.
Have you had a chance to read the ebook
Whole Brain Teaching for Challenging Kids? That is a great place to get started.
Good luck!