As a divorcee all I have to say is, Abraham was instructed to separate from Hagar. Paul even interpreted this as having some prophetic/theological significance w.r.t. covenants, so one way to look at it is that he may not have had much of a choice. "Let not man separate..." still applies even though the gospel does not say that God cannot or does not separate. This is something I think is way too overlooked by most churches that seem dead centered in choosing the most strict of all possibilities.
As for me, I could not possibly be reconciled to my ex. It would end in separation unless I compromised my beliefs, which would go against my conscience and faith in God. But if I am the only male of my family left to carry on the family name, does it sound appropriate that a failed marriage is enough reason to end an entire family line? Is that something God did or would instruct? Maybe only according to churches who choose the strictest of all possibilities. If the truth is that it could very well be God's will for me to remarry someone else, then I may just have to wander outside of those churches like Abraham as well, and suddenly, Paul's allusion to separating from the "bondwoman" takes on new relevance for my life.