Finding a glove system that works for ice and alpine climbing is anything but straight-forward. No matter where you look, you can't seem to find a pair that does all things well, so generally multiple pairs is what you need.
For ice climbing, I tend to bring at least two pairs of relatively thin climbing gloves (the amount of insulation varies regarding the temperature but I generally never go thicker than BD Impulse or Outdoor Design Diablo) and a pair of mittens for belaying. I own several pairs of gloves with Gore inserts, none of which are waterproof. So I have virtually moved away from them, as Gore inserts usually don't hold water anyway and the inserts usually readily follow when taking the glove off. Which makes it virtually impossible to get them back on.
Kelly Cordes has a good article regarding the glove issue, which might give you good ideas. There appear to be several other entries regarding the very same issue.