It's true that the majority of people in Western Countries are eating too much protein & fats of animal origin (and especially red/processed meat), however there isn't credible evidence that light/moderate meat & dairy consumption has a statistically significant impact on incidence of CVD and cancer. If you want to completely avoid animal products for ethical reasons (their suffering, and environmental impact) sure the evidence of that is available in spades, but making unfounded health claims is bordering on quackery.