Sure I would. Martial arts can certainly save you in a situation like this. Running away can save your butt too. In this situation, it's not like there aren't other options available. In a bar, there's a bartender and usually lots of other people around.
Most martial arts require freedom of movement.
And just so you know, usually martial artists are taught not to strike until teh other person throws the first blow. Violence is a last resort, martial arts are more than violent moves. We both agree that nonviolence is preferable to violence. You just appear more willing to use violence to solve disputes that I say can be solved by nonviolent methods. All of your examples so far can be solved by nonviolent action far better than by violence.