Going to the extreme and eating only meat is a bit bonkers.
The main problem with our diet and what causes the most disease and death are carbs and sugar.
Take a look at this regarding nutrients and plants http://www.zoeharcombe.com/2014/04/the-perfect-five-a-day/
I have been researching all sides of this for 6 months now for a doc http://foodlies.org so I'm very familiar with a ll the arguments and studies on both sides.