The right side mirror is a wide-angle and does not show vibration that easily.
When I replaced my speakers I looked at the mirror in detail and concluded that there is nothing much one can do. There isn't much meat where the mirror is connected to either. It's the nature of the beast. As for cranking up the speakers the complete door takes part by resonating and that is transferred to the mirrors.
As mentioned before... when traveling at a reasonable speed in automatic for example and the transmission shifts to fifth gear early, the mirror will vibrate upon gentle acceleration. A quick cure is to switch to 4th in manual and I bet the vibration will be minimized.