[pjlegato]

Yes, exactly!

The solution is simple (but not necessarily easy): turn off ALL notifications and badges and vibrations, except for the actual telephone function (i.e. when people call you synchronously, a traditional phone call.) Disable all the rest entirely. No blinking, no vibrating, no numeric badges with little numbers quietly ticking up and up in the corner.

Then tell all your important friends and relatives and co-workers to just call you on the phone, a real traditional synchronous phone call, if something truly important happens.