(I'd be the opposition for this one.)
For me, no they won't. Because not all consumers are carnivores. Mostly, the the consumers that are herbivores are the ones that would give us much nutrients and vitamins in our body. Without them, we, too would be forced to eat much more on carnivorous foods making our bodies unhealthy and unbalanced. Producers are very vital in our lives, including animals too because mostly the one that could cure their diseases is the natural way which is through the producers in various ways. And if the 1st consumer which is the herbivores might die without the producers, then again, no nutrients can be found.