Actually, they only make enzymes for digesting certain carbohydrates. Cellulose and the other indigestible carbs, also known as fibre, are indigestible precisely because we lack cellulase and the other necessary enzymes.
But the problem with a high-glucose diet is that (1) that glucose goes straight into the blood stream, where it is very dangerous (quit apart from glycative damage, hyperglycaemia can kill, if it is not dealt with); (2) the amount of insulin required to deal with that flood of glucose also causes damage; (3) as cells react to the flood of insulin by down-regulating their insulin receptors in self-defence, the pancreas must pump out ever-increasing amounts of insulin, and hyperinsulinaemia is itself damaging; and (4) too much glucose damages mitochondria in cells throughout the body, which causes all sorts of bad effects, from neurological and mental-health problems, to diabetes, PCOS, impotence, many forms of cancer, and so forth. Not to mention the damage fructose does, by itself being a mitochondrial toxin.
Given that we evolved by eating meat, and given that the skeletons of agricultural societies are noticeably shorter and show more signs of various chronic diseases than do the skeletons of hunter-gatherer societies, it is pretty clear that excessive carbohydrate consumption is not optimal for human health.
Obviously, our bodies can metabolise glucose; this is an evolutionarily ancient trait. But modern human beings evolved from eating meat, first as scavengers, later as hunters, and any carb intake was minimal and seasonal. The ability to metabolise fatty acids and ketones is an ability conferred by the bacterium we now call the mitochondrion, which entered into symbiosis with an ancient unicellular ancestor. Any diet that damages our mitochondria, therefore, is going to have negative health consequences.