Wife and I are at odds. I felt I couldn't be around her, engage her or otherwise acknowledge her existence a while ago, So I completely pulled back and stopped almost all communication with her. I went dark, and I haven't come back. I did this for my own peace and sanity. She has since pulled back as well, and now we are like passive aggressive strangers, when our paths cross. So, here we are today. We will exchange a text regarding daughter, but they are very brief and concise. We reply with lots of "yes" or "no" answers, and not much discussion. Sitting down to talk about this isn't really an option for us anymore.
I do feel that wife holds a lot of guilt, over the divorce, daughter, and even how she hurt me. I am pretty sure she is doing exactly what you're saying. She really plays the role of, "I am a great mom, because look at what I do". I am sure deep down she holds substantial guilt, even though she claims to have none. That is very possibly why, she phones every day and goes to ends to show daughter love. I know I do the same thing, in my own ways. Being a split up family, not having your kids, all of it is brutal.
I think I am just going to trudge on the way we have been doing it. I will answer when its convenient . I won't answer when it's not.