BetaDad, yours seems to be a very sensible post. Having a toddler and a baby is very, very hard - and even more so if both parents aren't 100 per cent in agreement about how to look after them.
I am a SAHM, and I do feel exactly as BetaDad describes - that DH can't be 'trusted' to do it right. I think it's an absolute fact; he thinks it's highly insulting of me (and I can see why he thinks this!) I am also very keen to maintain control over existence generally. For us, the best solution is for the one parent to do it his/her way while the other one does something completely different. It's not entirely consistent, but it is on the whole better than one apparently looking after the children while the other one's hanging around in the background saying: "aren't you going to stop DS doing x,y, or z?" (Ours are older now - 5 and 7 - so this is of course less immediately relevant to you, whatalongday).
One thing I noticed in your post is that your DH hasn't 'read any books' [about children]. I have to say I have never read a single book on parenting/children - but I don't feel that this disqualifies me from looking after them.
To look on the positive side, it's lovely for everyone that your DH is so besotted by your DD1. He'll undoubtedly be equally keen on your DD2 once she's less of a dependent baby. Some people aren't that keen on babies, even their own - but become more keen as the babies become more interesting.
As I say, this phase is very, very hard. It does get better, though. Honestly!! My DH and I are not 'the same' as we were before having the DCs, but we have thus far negotiated ways to weather the gloom/disagreements about the DCs, and to accommodate one another's exhaustion.
I did find that getting out and taking the DCs to NCT coffee mornings was a big help to me. I didn't do it with DS, and only started when DD was born - but it was marvellous (contrary to all my expectations/prejudices). It was so nice to meet other women who were all largely going through similar things, and I even met some people whom I'd have liked regardless of having children the same ages as theirs!