S.Z.
It's very, very normal. It freaks us moms out, because just when we're bouncing between feeling all warm and fuzzy and in love with the baby and feeling exhausted and overwhelmed, it seems that the dad is not only no help but more exhausting to us than the baby is.
Yes, he should feel less stressed when his employment situation gets better, and it will get better over time. Remember that it doesn't reflect anything about his love for you or the baby. When the question of another child comes up, no matter how old this child is, he's likely to say, "Why would you want to go through all that again?" Men are just hardwired to see the work and the difficulties differently than women are.
It will help if he has men friends to talk to and hang out with, and interests he can pursue. It sounds odd, but it will also help if he's doing a lot of hands-on baby care! If you do it all, or most, of it, it's easy for a man to start thinking of the baby as "yours," not "ours." He'll feel more bonded to the baby if he's the one doing the day-to-day stuff.
Hang in there! Like any life change - moving, a new job, a new relationship - the adjustment is only this huge once! It does get easier!