I worked part time after Ds1 was born but Dh and I shared the nursery runs, but right from day one just rolled his sleeves up and got stuck in with the day to day demands of being a parent. He didn't want to be like his Dad, typical 1970s never changed a nappy type Dad. My own upbringing wasn't the best so both of us made the commitment and effort to read a lot of parenting books before Ds1 was born.
I then became a SAHM due to my health and we had Ds2. Dh sometimes works a 60+ hour week, he still makes time to have dinner with us, talks to the children etc. He did a lot of one on one time so even if he was just going to the tip and children have to stay in the car he would still take one to talk to.
One thing I will say is that my friend felt her Dh didn't get involved as much as he could have with the baby but when she was repeating her conversation with him it was all "you never..." rather than it would be great if you could. She found that change in her language helped when talking to him about his lack of input as he couldn't handle criticism either.
If you want to try to salvage this I would set them up playing a game together, no ipad, a board game or card game. Don't ask him to do it, tell him that he and DD are going to spend X time together today/tonight and then leave them to it.
Also on the stonewalling front
"Certain negative communication styles are so lethal to a relationship that Dr. John Gottman calls them the Four Horsemen of the Apocalypse. They predict relationship failure with over 90% accuracy if the behavior isn't changed. So, what can you do?"
Watch this video