Yes, too much of meat is not so good, and even if your not facing any problems inspite of heavy intake of meat, it will affect your digestive system in the long run, when you grow old.
I personally believe that the digestive system gets a little overworked when we consume meat, because it takes lot of energy and time to breakdown proteins and fat into simpler absorbable molecules(amino acids and fatty acids, etc respectively) . In comparision to veg food. Veggies breakdown easily, and takes less time to get converted into simpler molecules.
If you have ever observed, one has a light feeling when he consumes veg food, and a little heavy feeling when he eats meat... hope you get what i mean. Also, your appetite is not so much when you consume meat.. It's a heavy food.
BUT, it, finally depends on your body mechanism. Observe your body... does it feel light, is your appetite normal inspite of so much heavy intake of meat, is your bowel system alright(odour is one factor when one eats lot of meat), do you genuinely feel GOOD in your tummy when you eat meat for every meal(leave out the taste factor)...and then decide for yourself.
I personally hate eating meat twice a day, or more than thrice a week.. because, I dont feel hungry often when I eat meat, my appetite gets disturbed if I eat it continuously for two meals.