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You may regret not getting a body with video capabilities if that's something you're into. The GoPro is fun/cool, but you are going to get better files and lens versatility with a DSLR with video (thus ruling out the D700, which to me also feels old). I upgraded from the D200 to the D7000. Working for Think Tank Photo, I get free use of the D700 or D3S (can you guess which one I borrow?). I personally like the files out of my D7000 more than what I get out of the D700, and both are slow in regards to fps if you're shooting sports. If you don't mind missing a shot and re-doing it, then that's not going to be much of an issue. I also don't foresee the new D600 to be a speed demon on fps either. The D4 may be overkill for what you're doing, but it does have MUCH better video capabilities than the D3s.
If you wanted to stick with DX, then the D7000 has been brilliant for me (I've got around 50k releases through it so far). A huge leap above the D200, though I hate the D7000's lousy, quick filling internal buffer and it's ergonomics to me aren't quite as nice as the D200's. It's bracketing has also been crippled. However the sensor is amazing, it's feature packed, it has a great view finder and LCD and the files are amazingly clean and have a ton of dynamic range. Not quite as nice as the D3s, but I'd venture to say the files are nicer than the D700s, even though it's FX vs. DX.
My coworker just got his D800 (standard, not "e") and has been using it exclusively for the past month. He loves it. I've had a chance to work with it in the studio, and I can't fault anything about it for that usage. I don't think it's any better than the D7000 in terms of noise (same sensor, just larger if recall). However it's FX like you want and it does have very good video capabilities. Compared to the D200, the D800 would be a HUGE leap. Expect the D600 to be a crippled version of the D800.
Now, with all the rambling over... what is your budget? Without that, it's really hard to make a recommendation. If video didn't matter and you're not making huge gallery prints, I'd vote ten times over to find yourself a D3S. Low light king, very so-so video and not many MP if that matters. Lovely files with huge dynamic range. (I always shoot 14bit RAW)
Sorry for the long brain dump!