No, not a fan of the carnivore diet (except for short term use for medical purposes). Getting rid of grains puts us in very high risk, grains are essential because they are easy to store long-term... Even though they are plant seeds, the most toxic part of a plant, we have mastered indegenous preparation of grains... and while the food industry has tried to ruin it, it hasn't succeeded by much... mostly because grains are perfect, even for the food industry.
I believe that indigenous vegetarian diets, such as the traditional Indian vegetarian diet, before ghee was replaced by industrially produced seed oil, is one good option... as is foods like Sushi, where you combine fish/meat with grains.