Holding baby and feeding every two hours sounds like very good advice to me. It's always exhausting in the first few weeks - unless you're very lucky and have a settled, peaceful 'good' baby. (The third of my four was good).
A shift pattern helps. Father gets a nap while mother copes. There's no point in them both staying awake. He can do essential chores and organise food.
When mum can cope no longer, she takes a nap and he deals with unsettled baby. A walk in the pram, car ride, being carried around the garden, rocked, sung to - absolutely anything that works at all, even a bit (preferably out of earshot) - just for an hour or two - enables survival!