This is hands down my only major complaint with G-Nex ICS! I love everything about it except this! I don't have a home phone and need the phone ringer on in case of an emergency call but don't want to be constantly woken up by emails, etc.... Please fix this ASAP!
My other gripes? Speaker phone and all external volumes too low. And unless you disable Google+, the battery life stinks, even with the extended battery.
Other than those things, this is the best phone ever! I love it!