What's your budget?
The 100-400L is a great lens, but a little on the slow side at f/5.6 from around 200-400mm, the range you will be using. This will be fine in most cases, but early morning, late afternoon and overcast days it could be a problem, not just with shutter speeds but AF too. I see plenty of great bird and aircraft shots with it (not to mention auto racing shots), so it's definitely no slouch in that department, but like most long zooms above 200mm it's a little on the slow side, which is why many people turn to long primes.
If I were to get a long zoom, it would be the Sigma 120-300 f/2.8. With a 1.4x extender it's a 170-420mm f/4, which is sill double the speed of the 100-400L. No IS, but I'd rather have the true stop or two of speed anyway for stop action.
Given unlimited money I'd go with a 400/2.8L or 600/4L, but as I can't afford either of these right now, I have a Sigma 500/4.5 instead, which I think is a great bargain for a long, fast prime.
Then there's of course the 400/5.6L and 300/4L IS and the discontinued 300/4L non-IS. If you don't want IS, you can find the 300/4L used for around $700. I went for the 300/4L IS because I really wanted IS, and with the 1.4x extender it's a 420/5.6 with IS, but probably not as sharp with the extender as the 400/5.6L.
Enough choices? 