I understand completely how you feel. My husband was the same way (my daughter is also two months). The reason I say was is because I've talked to him about it and he's working on being more involved with her. He's doing very well.
But here's a little insight that my husband share with me as to why he wasn't really involved. He said it's because she's boring. She does nothing but eat, poop and sleep. She's no fun right now, he said, I'll spend more time with her when she's older. So, in order to get him more involved i constantly point out how much she's changing in the many ways that he takes for granted.
When I need to take a shower or do anything around the house. If the baby needs a diaper change or I need him to dress her. I don't wait for him to volunteer because trust me he won't. I simply bring her over to him and let him do that i also need to get things done.
I also give him a list of the new things she can do and I give him a chance to see if he can get her to do those things. For instance, my daughter has begun to imitate me. If i smile she'll smile, if i open my mouth in an o shape, she'll do the same and if i poke out my tongue she'll do that to.
Just take out a little family time. Just you, your husband and the baby. No phones, no television and just interact with the baby. make it a competition, who can get the baby to stare at them longer, who can get the baby to smile more often?
He'll be more involved. i guarantee it.
Good Luck!!