Your DF should go. I haven't done the class, but my firned did and said there was a lot of useful info on what's normal in the early weeks and about what dads can do to help out.
Also, as others have pointed out, partner support is a major factor in success rates for mothers. He needs to get on board with this. He doesn't have to pretend to breastfeed or anything, but having 2 of you taking in information could prove really useful down the track when your'e trying to remember things.