Advice Needed on Path to Reconciliation

Alright, some of you will be familiar with my story (now removed), but, either way, I need a bit of advice on the crazy twists and turns that things have taken in the meantime. Female points of view would be especially appreciated! As quick background, we've been separated for just over three months, due to a general deterioration in our relationship after 10 years together. She left, didn't love me any more. Two young children in the mix. Since separating, she has been begun seeing someone casually, sex included, as have I. We're generally open and logical in this department so, while it stings for each of us just a bit, I don't see that fact having any particular role to play as far as reconciliation is concerned. Since the moment she left, I have done most everything right. After a couple of days of showing weakness and a bit of desperation, I've been strong, nice, courteous, assertive, never losing my cool, independent etc. After about a month of barely wanting to be around me, we started spending some time together during drop-offs for the kids, with lots of long friendly phone conversations thrown in. I encouraged some family time in the beginning, she wasn't interested. Now, she's pushing for regular family time together, including full days out. When I found out she was seeing someone, I expressed some discomfort, but played it super cool. When she found out I was seeing someone, she freaked out and showed an insane amount of jealousy. She also began to speak in a sexual tone to me, and that lead to a very good impromptu sex session that I imagine will continue somewhat regularly into the future. Now, I've been interested in bringing us back together from the start - I love her dearly, want my family together, recognize the mistakes I've made, and have done a great deal of work on improving myself in all areas. I've been active socially, getting an ego boost from the ladies, working out, and have been a better father than ever before. She *mostly* maintains a want to remain apart, but she's beginning to slip in that area from time to time, idly speculating over how things would be if we were together, etc. It's not much in that department, but it's something. She also wants us to continue to do things somewhat together, such as buying a second dog to share, making major purchases together, etc. So, my question is, am I making progress? Obviously, this could be seen as a case of having her cake and eating it too, and it is that, but we seem to obviously be reconnecting on many levels. My plan for the summer is to allow sex and family time to continue and see where it goes, reevaluating things in a couple of months in order to decide how to continue, depending on how things go. After establishing positive family time, an awesome sex life, and always excellent interaction between her and I, I imagine pulling the plug at that point would either leave her wanting more, perhaps prompting reconciliation, or be a final nail in our coffin; I'm prepared to let it go how it goes at that point, though not without a little heartache, I'm sure. Other than the family time and some personal time, I'm being generally aloof, focusing on my own life and leaving her be for the most part. I know some people will want to slam me for making this easier on her than it should be, but understand two things: one, I had a great deal to do with the deterioration in our relationship, and two, I feel I owe it to myself, my kids, and her to put in my best effort, however unorthodox it may be. So - is she cake eating and loving it, planning on a life where I'm some kind of man on the side, or am I making serious headway here?

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