Ideally I would only use my email for outbound, and different apps with different purposes for interacting with inbound.

A phone call should go to my email first, then get routed to my current voice app.

A short message should go to my email, then routed to my Viber/SMS/Whatsapp.

An email from my team with an action item, should get routed to my to-do app.

A picture message should get routed to my gallery.

etc...

Clicking on notifications should open the right app, or at least give me options.