Resolution handling, I don't think you're going to have a problem. After just checking through my stack of 1DsIII photos, I can't honestly say there was any issue with this lenses performance. In fact, I'd dare say that the 70-200 series from Canon (in any form) is about as good as it gets for that range... The 1Ds III certainly doesn't loose anything performance wise because of any lens drawbacks in this case anyway.
I can't comment on the 5D2 with this lens as far as AF performance goes, but judging by the same focus as the original 5D (I had two prior to my 1Ds III) and have to say, there lens was excellent on the 5D. Even edge performance with the AF wasn't bad for me personally anyway. It was and still is, the fastest lens I have for action stuff, as I've never had a need for telephoto primes... But that 200 F/2.0 looks mighty tasty. ^_~ But I digress...
If you need that range, it is the best you can get... and now relatively cheap too.