Of course, every person is different, both biochemically and in their lifestyle choices, activity level, health, etc. Your body can get rid of the excess protein, but first it has to break down that protein into its amino acids. Some of those excess amino acids contain sulfur which changes the pH of your body and makes your urine more acidic. That leads to calcium being leeched out of your system and can lead to osteoporosis and other equally unpleasant things. I'm sure you'd prefer to avoid.
Grains are a great source of protein.
A cup of cooked bulgur contains 7 grams of protein. A cup of cooked brown rice has almost 5 grams of protein. A cup of cooked amaranth has 28 grams of protein. Eat them as cereal, in baked goods, as a base for stews or soups, etc. That being said, they do provide oils, essential fatty acids, vitamins and minerals to our diets and they taste great, too.