It's so much deeper than that. For a lot of these *phobias, the concept of being friends with such a person is so foreign that merely reading a story about inter-group friendship has a measurable positive impact. See the below excerpt.

• Cernat, V. (2011). Extended Contact Effects: Is Exposure to Positive Outgroup Exemplars Sufficient or Is Interaction With Ingroup Members Necessary?. Journal Of Social Psychology, 151(6), 737-753. doi:10.1080/00224545.2010.522622

Participants who read a story about the friendship between a member of a stigmatized group and the member of another outgroup scored higher on outgroup admiration than a control group and felt less threatened by the prospect of interacting with a member of the target outgroup. However, reduction of outgroup disgust, negative stereotypes, biased beliefs, and anxiety was or tended to be highest among participants who read a story about the friendship between a member of a stigmatized group and an ingroup member. (p. 747)

Basically, it's like these people have never imagined the target of their bias as someone who you COULD be friends with.