So it was your trip that made you see how much you wanted to be back with your family? John, I think you need to make sure that you are missing your wife too not just the idea of the family you had. She is the same outspoken woman you left. You need to be sure you are thinking about this in the big picture sense and that you understand she hasn't miraculously become a different woman that you'll have excellent communication and lots of sex with. The same issues will still rear their ugly heads unless you are both committed to changing them. Had you both been trying to work on things when you left? Does she understand that her lack of communication and lack of sex were things that needed to change to make you happy? What things did she want you to change and are you willing to work on those things?
I see how this is going to be difficult for you since you are so far away, but I think Trixi had great advice. I'm sure you have to communicate with her about your kids...correct? Is that by phone, email...what? My advice would be to take every opportunity you have to communicate with her to show a different more attractive side of yourself. Different things work with different people. It doesn't sound like you've done a lot of begging with her so have you thought about putting your thoughts in an email and asking her to give your relationship some time? How are your kids handling things? How old are your kids?
(((John))) You will be okay...the rebound relationship almost never works...I read a book recently that talked about when a spouse has moved on with someone new and you still want an opportunity to rebuild your relationship with them you should always present yourself as the less complicated option. Chances are CT Daddy will be bothered by any contact your W has with you and he'll start putting pressure on her...when that happens make sure you aren't giving her the same kind of pressure. Make sense?