To be honest, I agree AND disagree with you.
2 hours in the nursery is not a long time. Pretty much just enough time to maybe pop to the gym, or get a few chores done.
2 hours in playgroup is NOT the same as childcare, it is mostly a chance for the baby to socialize and learn socializing skills.
Coffee morning is par for the course for a stay at home parent, it is the new support network, and a chance to meet others who have just embarked on the new life changing situation that is parenthood.
The rest of the time will be spent on caring for your child, her food, her naps, her nappy changes, laundry for both the child and the family.
The fact that you do not see this, give me the impression that you are a very hands off not to very present father figure, nor husband figure in the whole state of affairs.
I would imagine your wife is pretty pissed off that you have such attitude to the baby and how this has changed your lives.
This brings me to the question:
How much of YOUR life has changed since you became a father?
The part I agree with is that whether or nor your wife goes back to work and your child stays in nursery full time, or your wife stays at home is a joint decision which should be based on you and her talking about your life and your expectations.
Part of this is measuring up the cost of full time child care (I paid £800 per month for a full time nursery place in London 5 years ago), and whether it is worth it from both a financial perspective and the perspective of yours and your wives career progression.