If the name of the class is ASL 5 and you are not learning what was explicitly implied by the class title, you need to at to the principle about it, it's important.
If the class is included for your certificate or degree you may still need to take it, but they cannot present a class, teach something else and charge you for it. In addition, the class may be a prereq for another class and you need to know that as well.
As far as learning about the teachers life, the ASL class I took (which was very good) did focus on the teacher signing about his life. However, I would think that was partially because it was a beginners class and one of the things I was taught about deaf culture is that they love to tell stories so it seemed to fit.
One thing, I believe, all real knowledge is good so I wouldn't write off what you are learning if it is something you might come across later in life.
P.S. talking was not allowed in my class.