If it's possible in your situation, have dad get up when the baby cries and have dad pick him up for a few minutes, put him down, pet him on the head a little and leave. This worked well for us. at first i tried just soothe my daughter and not nurse, but she kept wanting to nurse (same thing 2-3 min only), so we figured it will be very hard for her to wean if i were the one picking her up. so for a few days dad started going to her. she was a little fussy, but he was very patient with her, and then after 4-5 days she figured he's got nothing for her and stopped waking up. he sometimes offered her a bottle, but she didn't want that.
so, you just have to get over a few nights of him fussing and crying, but it's really not that bad, and it doesn't last more than 15 - 20 min max (which, yes i know could feel like eternity, but really it's not that bad!) i made sure to cover my head with a pillow for the few minutes she cried, so i don't hear her and be able to control the urge to get up. my husband is extremely good with our daughter, but all you really need for this exercise is a few days of patience. and if you are able to do it this way with your husband getting up, make sure you don't "mess" with his methods, he needs to be the one to figure it out. if you get up and your son smells you, he'll want to nurse. so just let dad do his thing, and support him and be thankful he is willing to get up in the middle of the night.
Good luck, it will all work itself out!