Babylove, it is a bit like asking "how long is a piece of string?"
It really depends on each families dynamics and circumstances. How much do dads really want to do may be a far cry from what they actually (are able) to do.
For instance dh loves being a father, he is and always has been fantastic with children (used to babysit as a teenager and looked after his much younger cousins in the holidays when their mum worked). He was the one itching to have children as soon as we were married.
However because of our circumstances (ie his job involving long hours, regular trips abroad, putting in the hours to be made partner, plus his health issues - psoriasis complicated by psoriatic arthritis, affecting his joints pretty badly especially his knees) he doesn't get to spend nearly as much time with the children as he would like and can't do alot of things with them very easily, like running around, playing football etc.
When he is here he is very hands on with everything, from nappy changes, bath, bedtime, cooking/feeding, playing, stories etc.