This statement seems unambiguously true. More than half of the population is overweight, we suffer from chronic diseases that don't afflict hunter gatherers, and there are clinical studies supporting the harmful effects of processed sugar.
It doesn't follow, from the statement you highlighted, that paleo is the answer. We'd need evidence in support of that particular answer to the problem.
But there clearly is a problem. We're not meant to eat the way we are eating - the evidence is all around us.
The flowering of fad diets is an attempt to deal with this. It has its flaws and incorrect theories, like all experiments.
You're also using an ad hominem fallacy. You say that a diet is wrong, because the reasons for it are wrong. But that isn't evidence about the diet itself. You should address whether the diet works.
Edit: parent post deleted. Well, now I just look irrelevant.