is it normal that my moms like this?

Well the way you write about it suggests you know it's not normal and are seeking support and advice.

That's fine. But I doubt you would have written this in the way you have if you honestly wondered whether it's common to have an unemployed, alcoholic overbearing mother who you're scared of "more than anything else in the world", who stabbed your father, beat you and your sister, and whose behaviour resulted in your going to foster homes. I mean, you have friends right? You must have met a lot of people in your existence? So it should be common sense that this isn't the usual experience - and I think you know this.