We can tolerate CHO free diet since glucogenic amino acids and alfa ketoacids derived from fatty acid catabolism roughly satisfy our needs to CHO. However how can prepare this kind of diet.
Primary issue- carbohydrate is the simple and basic source of sugar to human body. Body readily get the glucose from carbohydrate sources. The person will get a hypoglycemic attack if the carbohydrate are insufficient in diet.
Secondary issue- protein and fat has other vital functions their secondary function is to providing calorie.
It is true that in the absence of carbohydrates as a source of energy the body will use proteins and fats for maintenance energy needs.But, this will compromize their original functions specially the body building role.
CHO is the main source of energy. RDA's recommendation for CHO is 130 grams a day which is based on the average minimum amount of glucose used by the brain. Inadequate intake of CHO results in fat takes an alternative metabolic pathway which could potentially lead to ketosis. The adverse side effects of following a Ketogenic diet include nausea; fatigue, constipation; low BP; elevated uric acid; stale, foul taste in mouth and in pregnant women it could cause fetal harm and stillbirth.
You shift to a different metabolism; either fats or carbohydrates are needed for metabolisation of proteins, human metabolism can adapt, see the traditional diet of the inuit people.