FWIW, my husband and I said the same thing as your hubby before I had my first (if they could ask they were too old to bf). Then I proceeded to nurse her until she went on strike/self-weaned at 18 1/2 months. I nursed my second until he was 2 1/2. He has never had anything. Even a sniffle. I am currently nursing my 20 month old DD in tandem with my newborn (2 weeks). She's never had anything either. My first had vaccines and many illnesses including having to be put on steroid inhalers twice for respiratory infections, multiple ear infections, bedwetting until 6, and 2 UTIs. I attribute these illnesses to both shorter time bf-ing, and having gotten vaccines (none of the others have has any vaccines). Her illnesses may not all be because of these things, but there's no way that some of the illnesses weren't related to the vaccines and shorter bf-ing.
At any rate, until your DH sees the baby and how good the bf-ing relationship is, his protests are uninformed, just as were mine and my DH's before our first was born. Also, I think you should inform him that the all major world health authorities (AAP, WHO, other countries, etc.) recommend nursing for at least a year. So in no event should your baby be stopped from nursing when they start solids at ~6 mos. Hopefully he'll come to realize the irreplaceable health and emotional benefits for you and your baby of extended bf-ing. Plus, you could always print out information and leave it laying around if he won't talk to you about it. Hopefully he'll read some of it and between that and actually seeing the baby in your arms, he'll soften his stance.
P.S. I'm not due in Apr 2013, since I just had a baby. But I really wanted to comment on this thread. I hope I'm not breaking the rules too egregiously!
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