Whether that glucose comes from carbohydrates, from protein
via gluconeogenesis, or from glycerol (a byproduct of fatty acid metabolism), excess amounts in the blood
stream that aren't immediately used are transported by insulin to muscle and
liver cells and get converted to glycogen.
Ironically, it's the people who are insulin resistant that probably needs more protein because they are not able to use the protein available as effectively and they are also losing more amino acids into the blood
stream via poorly controlled gluconeogenesis in the
liver.