I feel kind of odd responding to your thread being pretty close to wearing your wife's shoes. I don't know if my advice would be great or lousy for that reason. I guess the question I have for you is "What does you wife think was the 'reason' for your LD?". The reason I ask this is that I know that I would never get back together with my H until he addressed what I see as the root cause of his LD which has less to do with sexuality per se than his attitude towards life in general. Really, I might say that I would never get back together with my H because if he made the changes that would make me feel secure about getting back together with him he would be an altogether new person, not my old husband.
So, here's what I'm thinking. You aren't happy now and you almost certainly won't happy as a LDH, right? So, if YOU want to be happy in the future, you need to change something about yourself to achieve that. If you make that change or changes then you will be happier whether or not you get back together with your wife. Your wife has already made some changes that enabled her to take the step to leave. If she isn't happy with her decision than she might want to make further changes in herself that might lead her to want to get back together with you, but maybe not. If she believes that enabling herself to be a sexually active person is part of taking good care of herself, she will have to carefully consider whether getting back together with you would be a healthy move. Basically, you are like a car that failed Consumers Reports every year that you were a LDH. How are you going to prove to her that you will be a safe and secure ride in the future? You can't rely on customer loyalty. That is what you just lost.
"Tell me, what is it you plan to do with your one wild and precious life?" - Mary Oliver