As you said, this is highly improbable right now, maybe it will happen in the future in a few years.
What if she just becomes your friend after the divorce is finalized, you start doing things together like taking the children to the park or eating all together occasionally? And she allows the children to call/skype with you whenever they want?
Do you think that this goal is much more plausible and obtainable?
If the answer is yes, I would definitely focus on that for now.
Little by little....