Obesity is our biggest health problem but I don't think that meat eating is the cause of this.
I was obese when I was a meat eater.
I'm not exaggerating when I say that veganism has cured my life long weight problem (along with curing other health issues in our household).
I've lost a heap of weight - without even trying. I'm still eating the same amount of snacks, meals, and treats - just all vegan ones instead.
People have even cured serious medical issues by going vegan:
http://www.forksoverknives.com/