I do eat quite a lot of vegetarian and vegan food. My wife is Greek so it is a big part of her culture.
We only have meat a couple of times a week, so we get good quality meat, including fresh fish.
As you say, if eating meat is not your thing, then good for you. I'm certainly not going to tell you otherwise. :-)
I think it is less important what you eat (as long as it is actual food) and more important how and why you eat. Just shoving in food because otherwise you will die negates a whole lot of the benefits of food.
But enjoying your food and the company that goes with it has many health (physical and mental) benefits that shouldn't be overlooked. This is one of the reason why Greeks live so long - it's not just what they eat, it's the whole experience of eating with family and friends and the enjoyment that comes from that, that makes life worthwhile.