That's a lot of red to deal with.
I got some pretty good results by first pulling up the reds to neutralize the grays, then bringing the vibrancy way down and pulling up the saturation. This neutralizes most of the red tint, though it's still there to some extent:
Perhaps somewhere between the original and the corrected LAD is where you want to be.
JEDIT: On second thought, I really don't think that the LAD should be neutral gray, there's no way the sky is going to be anything but red if that happens.