Nah... not a good self defense stance. The way he was standing was sort of a variation of the Chapman, and he probably modified it to be able to hold steady at that distance.
If you are right handed, but left eye dominant, learn to shoot with your left hand. It takes practice, but I promise you it can be done. I teach a class 3-4 days a week and mostly do my demonstrations from the left front of the class room. Because of this, when I show the proper grip on the handgun, I show it left handed. Through repetition and practice, I can now shoot with either hand, and with either eye. Always both eyes open. And one of the main reasons is for self defense.
Do what is comfortable, consistent and relaxed for you. But, you should be shooting with the hand that matches your dominant eye.