My sister claims that her C-section was "fun". She demanded that she was the first person to touch the baby and her husband (a brain surgeon, so not the faint of heart) the second. I'm not sure how it was possible, but it looks like they granted her wish since the hospital hasn't been blown up
Fulmerspot, I believe you're a geriatric father. I think you should ask your doctor if it's safe for you to participate in an emotional situation. If there are any risks involved, your wife might prefer that you stay away not to get her worried about you and more stressed.
Anyway, all the best to your wife.