I believe my mother is going to take my to court for visitation of my children? What are the chances she will win and what should I do to prevent it?

I went no contact with my mother about 6 months ago after years of dealing with her violent alcoholism, her undermining my choices as a parent, her blatant favoritism and targeting of my children, and the straw that broke the camel's back, her running a background check on my SO in an attempt to persuade me to break up with him. I just received a certified letter from her asking me to contact her to set up visitation for her and my children. It didn't explicitly say anything about her taking further steps, but it seems like that's the direction she's trying to move. If she does take me to court for visitation what sort of information would be pertinent to document? Are her chances of winning high? (We live in Nevada) I can get several character witnesses on my side if I need to. I'm just not sure if I'm blowing this out of proportion. Thanks in advance for any advice. ETA- should I respond to her letter and reiterate my stance on her visiting the children?