You're less likely to have numerous health problems by following a vegetarian diet. As a vegetarian you are, for example, less likely to have heart disease, the number one killer in the United States. [1] Interestingly, some of the oldest people in the world eat a primarily plant-based diet (though not exclusively). [2]

The issue is that you need a well planned veg diet. You can't just eat french fries and white bread and expect to maintain your health, obviously. For me, after a couple months of tracking my food and learning the calories/fat/protein of a lot of plant foods, I don't really have to think hard about creating well-balanced meals. It's a learning process.

I'm sure it's possible to have a healthy diet that includes a very small amount of non-red meat. That small amount is probably not going to hurt you that much. [3] However, you can get every vital nutrient you would get from meat from a plant source without the tacked-on fat and cholesterol.

[1] http://www.huffingtonpost.com/2013/01/30/vegetarians-heart-h...

[2] http://www.nytimes.com/2012/10/28/magazine/the-island-where-...

[3] http://www.health.harvard.edu/blog/study-urges-moderation-in...