Hey guys if you're experiencing this problem like me you're probably frustrated too. Basically, no matter what settings you adjust on the native email app you cannot stop the phone from vibrating with every single email. I just did some research and found this bug report and if you follow the instructions from post 66 you can actually work around this horrible Android experience.
Issue 39592 - android - 4.2 -- phone vibrates on email receipt even when setting is to "no vibration" in both gmail and mail - Android - An Open Handset Alliance Project - Google Project Hosting
set ringer volume to 100%
set phone to vibrate and ringtone to silent
set ringtone for email to silent
set ringtone for gmail to silent
set ringtone for messaging to silent and vibrate to always
Issue 39592 - android - 4.2 -- phone vibrates on email receipt even when setting is to "no vibration" in both gmail and mail - Android - An Open Handset Alliance Project - Google Project Hosting
set ringer volume to 100%
set phone to vibrate and ringtone to silent
set ringtone for email to silent
set ringtone for gmail to silent
set ringtone for messaging to silent and vibrate to always