If you have red hair and blue jeans and cowboy boots on a\ and a snatch and grab was was put on radio by police dispatch with the forementioned description and a Law man rolls up on you as you are walking down the street and asks for ID. will you refuse and get it started?
In the unlikely event that I am walking around unarmed, then yep, I will. Rights not exercised tend to get eroded. If we start making exceptions for circumstances, soon enough the right is gone. If a cop wants to know who I am, and he has cause to, he can arrest me and find out.
But since I'm always armed, it's mostly moot - I have to ID if I'm carrying/
In the situation you describe above, the cop is likely to arrest me in any case, so they get a peek at the license due to the arrest.