The whole point is the stand your ground law, in this case the women has a right to protect her property as well. People can have their own personal outrage trial, but its irrelevant if there is a law in place that protects you in committing such acts
That's not the all the point, these are two different situations that will have different laws applied to them. In the first case Michigan brandishing laws are applicable, it wasn't self defense, she left the safety of her car and waved a firearm with intent to cause fear which is illegal. The video that you provided shows someone being shoved to the ground and firing at the aggressor while he was in a vulnerable position.