All you've done is get rid of a particular kind of messaging server; you haven't reinvented communication.
It can save you money and time your people used to spend doing email, but they'll still waste time using the new communication media, not to mention the rest of the Internet.
And you haven't even eliminated email.
No matter how pure its intent, no company can afford to kill off email completely as long as its customers keep using it.
No matter how much you hate email, no matter how justified you are in hating email, pretending you can quit it while actually replacing it with something that serves the same purpose doesn't solve the underlying conflict.
The real problem is not the quality of your email, it's the quality of the people with whom you email. Unless you know a way the rest of us don't about upgrading your customers to a higher grade of human, eliminating their bad email only treats the symptom, not the disease.