Would we literally die without the microbiome? At least with respect to gut flora, the answer is no[1]. I'd be interested to hear about some part of the microbiome that is absolutely essential to human development or human survival, the way skin and blood are essential. As far I've been able to determine, a human being could live 5 years on Mars with a stockpile of processed food[2], water, and oxygen, and without the microbiome or any organism within a hundred million kilometers. It would be very interesting if that's proven wrong.
[1] http://www.sciencedirect.com/science/article/pii/S0165247805...
[2] I mean non-living food of course.