I gave up on waiting for the rain to stop, and just went out shooting late this afternoon with the 600 II. Thick, dark overcast, 1-2 hours before sunset, and under a canopy of trees, so as you can imagine the light was not great. The lens was. I spend about an hour, handheld shooting only - not a problem with the lens and 1D X, and my arms are fine tonight (I did have a BR strap connected to the lens foot, so when not shooting, the weight was on my shoulder).
Below are a couple of shots, a female cardinal and a purple finch (the latter, at ISO 1250, was the only shot of the day that was lower than ISO 2000!).
One revealing observation when doing the image triage - of the ~150 shots, there were only 2 shots that missed focus (and not by much), and a few more where subject motion resulted in blur (dropping off the perch, or shaking off water). That hit rate is far, far higher than I experience with the 7d + 100-400mm combo.
EOS 1D X, EF 600mm f/4L IS II USM, 1/250 s, f/4, ISO 6400
EOS 1D X, EF 600mm f/4L IS II USM, 1/320 s, f/4, ISO 1250