I'm in the exact same boat as Neuro; I'd use my 1.4x tc on the 100-400 if I had the ability to AF with the 1dx. Currently, I occasionally use the 1.4x tc with the 100-400, and not being able to autofocus does not really bother me, since I don't have a 1 series body. Most of the time I use the 1.4x tc is only with my 70-200.
Edit: Well, I missed the boat with the third option, but, because I occasionally use the 1.4x with the 100-400, I'd stay the first choice stands.