In reply to london_huddy: I shoot with the Nikon 300/4 and permanently attached 1.4x TC - so effectively a 420/5.6...!
An emphatic yes to all the above, except for the need for a gimbal head - the huge 400/2.8 is an entirely different beast to a 400/5.6, which is easy to handhold, or you can use a standard three-way or ballhead. Monopod also very useful, but I often shoot handheld (despite the lack of IS/VR)
The other thing you probably don't need is a 1.4x TC - the 400/5.6 is already at f/5.6, so adding a TC will probably (unless Canon now have f/8 rated AF points as Nikon do) make it too dark a combination to AF.