Another 2 pennies...
First about the surgical procedure: a vasectomy is certainly a far less complicated and less involved procedure than tubal ligation (with fewer complications, most importantly).
My husband and I divorced almost 2 years ago and only 8 months after he had a vasectomy. Both of us were certain that we did not want any more children and we agreed that fairness and equity dictated that he should have the procedure. I had been the one who had always worried about birth control, I had been through pregnancies, I had given birth (to two very big babies

), so it was only fair that he had the procedure.
We are still very amicable and are good partners in parenting, so we talk occasionally and I have asked him how he feels about the vasectomy in light of our divorce. He has no regrets - he knew these were the two children he wanted to father, he has reached a point in his life where he does not want to worry about getting anybody pregnant. However, I don't think he could have known this 10 or 15 years ago, so I think it may be a little early for your husband to be able to make a commitment one way or another.