I would suggest that you are better off sticking to the 7D with the 100-400 rather than shooting with the FF + 100-400 + 1.4TC.
I tried this combo and it worked reasonably in good light. That said, if you are looking for pixel level sharpness, forget it. Also, if you are shooting birds in the trees, you lose AF, hit a max aperture of f/8 and in dark foliage, are at ever increasing ISOs to render the images unusable.
Personally, I would prefer to use the extenders only with a f/2.8 or a f/4 lens.