Misogyny is the hatred of women.
Neither word really has anything to do with being attracted to the sexuality of the other gender. Neither word really has anything to do with simply being unkind, mean, or insensitive. Unfortunately, we often seem to throw these labels on people (labels which stick and aren't too dissimilar from calling someone a racist or homophobe) when they're not really relevant. Having a poster of a sexualized woman or buying videogames with attractive women on the poster or laughing at a joke about the other gender or saying a particular person of the other gender is an idiot are -- while unkind and inconsiderate -- not generally matters of discrimination, superiority, or "hate".
Frankly, I feel we do a disservice to the value of these words in describing actual sexism and actual (but rare) misogyny by throwing them at everything under the sun that makes someone a little uncomfortable or is anything short of respectful. Of course, even suggesting that we should be more careful of our use of these words, I am now probably both of them.