QBall QBall:
NORAD cannot launch without the President's permission.
If Obama refused to issue the order to retaliate against a nation that hit the US with nuclear, chemical, or biological weapons then he'd be deposed (likely declared incompetent) and the military would turn to President Biden to issue the order.
There are some things that the military simply will not sit on its collective butt for and a President who fails to act in response to such an attack would be one of them.