However, I don't think she is "acting like you did." She gave up on you and accepted your decision. That is very different to me than leaving and refusing to work on the marriage.
What I mean by her acting like him is that she is responding to his chasing of her as he did to her when she was in full bore pursuit. (very typical reaction when a person is pressured to return to a relationship)
Love works best when it is given freely and not from force or pressure. When it is their free will and choice to be with you.
She is reacting to your pressure and pursuit no different than you did. Keep up the pressure and pursuit and I will GUARANTEE the same results for you as you did her. Same results most everybody I have ever seen on this site receives.
PRESSURE AND PURSUIT do NOT work on someone that acts as if they want out. Asking her out right now is nothing more than pressure. You are in panic. People make numerous mistakes when in panic.
Wait on the dating for the time being. First you have to take off ALL pressure. Imperative.