Gloves aren't seam-sealed, so even Gore-Tex wets through. OutDry fixes that - get the MH Medusa or Hydra and don't look back. Bitchin' gloves aside from the waterproofing, too - tough palms, nice wrist cuffs, etc. Backcountry had them on sale recently. I had the Cima, which is the same as the Medusa but with synthetic palm (meh) and no OutDry. Those were it's only shortcomings, and I loved the heck out of them for ice, mountaineering, and skiing. I now have the Medusa as a second pair and can't think of any way to improve them.
They will get wet from sweat anyway - bring two pair for big mountains. Or, at least get a glove with a removable liner and bring extra fleece gloves to put inside.
Search for the thread on ice climbing gloves, and read the links - I have been oh-so-happy after doing so and following the advice within (which I just summarized for you).