I'm not so sure. Of course some people are completely closed minded, but I think there is still a lot of ignorance out there that can be cured. You wouldn't know it staying on sites like this one but there are a lot of people who's primary source of information is the TV and they'll probably give most things they see on there a chance.
Give it time. I'd love to know how many racists reconsidered their world beliefs as a result of their children dating someone outside their race - simply having to deal with something on a regular basis can acclimate you to it and make you think a little more critically about it.