Hey dizzy - welcome to the thread!
I've got two children - DS of 2 and DD of 3.5 months.
I'm sorry to hear how difficult things are for you. As MLIC just said your dh is at least willing to try which hopefully bodes well for the future. Perhaps (if you haven't already) you could agree set tasks that are his job with ds, e.g. him doing bath-time every night.
New research has shown that new fathers (indeed any close males) can get a surge of protecting, caring hormones just like new mothers, the difference is that men have to spend lots of time with the newborn for those hormones to kick in (whereas for mothers it obv just happens with pg and birth).
I'm lucky to have a very hands-on dh who has always spent lots of time with ds (and now dd) but even he'll admit that he found the first year pretty tough as he felt that he didn't really know what to do with ds and that ds just wanted me (esp as I was bf).
As Chulita said, the 1st year can be a challenge but if you can get thru that then you and DH will feel like such a team and much closer as a result.
mlic How're you feeling now you've made it thru the day? How big is your glass of wine? 
And sorry to be nosey but i was just wondering what reason or justification your dh gives for not doing childcare/housework?
I know you've accepted the way he is and I do kind of admire you for that but it does makes my mind boggle!
I'm feeling all virtuous right now as I kindly treated dh to the new Call of Duty game earlier, I did one of his fave dinners (veggie hotdogs and potato wedges, the sad man) and I'm now 'letting' him watch Spooks (recorded on Vision) whilst I MN. What a nice wifey I am 
I will be kicking him into the kitchen to get me some wine shortly tho 