Is she coming back?

Yes, from the history you've shared, I think she will come back to you. You seem like a good man and I too think you could do better..... but, if it is true love, and for the sake of your children and their stability, perhaps you should give her another chance. If you decide that's what you want to do, however, don't expect her to change. Know that at some point in the future, she WILL cheat again. I don't say that to be mean or cynical however, cheating for her has been a lifestyle, not a 1 or 2 time occurrence. Best of luck, I know this isn't a fun situation for you, my second husband had the same problem, couldn't stay faithful. I gave him several chances but he's now my ex. I just couldn't take it anymore.