I have this lens, as well as the Kenko TC that you are interested in. I really like the lens, but at times, I wish it was longer. I bought the TC, with hopes of more reach. With the TC the focus is slower and it will hunt around even after it locks focus onto a subject. It is really a challenge to shoot birds in flight, but it can be done.if you are shooting still or slow moving subjects in decent light, I would suggest manual focus to avoid these issues. The 7D does read the kenko and displays 420mm in the EXIF data.
I don't seem to use TC much, as the 120mm gain doesn't seem like enough upside to offset the downside. The 100-400 would clear all of that up, and you can still add the TC to that lens if you wanted to. I have thought about trading this lens out for that one too, but I like the 70-300L too much to part with it. I am also looking at the Sigma 150-500 and the 50-500. A 200mm gain just might be enough for me to make the move.
The August issue of "Shutterbug" mag has a review of this lens paired with a canon 2X III extender. I emailed the author to verify the setup, and he confirmed it. He said the setup was manual focus only. I haven't been to the camera shop to verify this yet, as I have heard that the Canon extenders will not physically fit the 70-300L.