Sounds perfect, but don't think just one interaction is going to do the trick. That is just the start, but it's a great start. Get a bunch more interactions like that under your belt, and she might start to think twice about throwing your M away. Particularly when kids are involved, I don't think the WAW truly realizes how much they emotionally are connected to the father of their kids, until they are faced with the potential loss of that connection. Kids bind two people together in a very strong and special way.
I love that you had to call it short because you had a date! Don't think she wasn't thinking about that, even if she acted like she didn't care. NO ONE likes being second choice, ever. I have a fairly close female friend, absolutely a friend, nothing has ever happened between us, but since my W and I separated, we do go out to have fun once in a while, just the two of us. Even her, who I have no romantic interest in at all, if she tells me "I can't hang with you tonight I have a date" I'll ask who it is and give her props and wish her luck, completely sincerely, but a little thing inside is just a tiny bit put off that she'd rather go out with him than hang with me.
The coat thing was classy, but that's a tough one. She could have felt that as pursuing, but it depends how you did it. If you were very casual about it, I think that's good, and it sounds like you were.
I also like how you showed your new outgoing personality. Wow, you and I were so similar that way. I was previously quite introverted. I wouldn't call myself an extrovert now, but I'm so much more friendly and warm to other people. My W has noted that as well. There are some things that are inherently attractive, dressing well, being outgoing, friendly, warm, generous, all good stuff. Keep showing her that with every opportunity, without seeming obvious, just matter of fact like "this is me now".
V1olin, if you get more chances to show your W this new you, it won't be long until she starts calling a little more often. You'll notice she won't like being away from you for too long at a stretch. She'll start to want to get a "fix" of you more and more often.
All the situations here differ in one way or another, but yours and mine sound so similar, but I'm about six or eight months ahead of you, and things continue to look good for me. Hang in there!