I see this as more or less like the mainstream Christianity of America. Try to think of this in terms of gay rights. Most people when asked are very nice. Polls keep showing most people support gay rights. Pull any random christian off the street and he'll tell you he loves everyone. And yet when it's time to vote the result is always homophobic in nature. Not just gay marriage but adoption by gay folks as well.
How did you think these extreme views got in power in the Muslim world? Pull any random Muslim aside and he will swear up and down most of Islam is not like that. And yet most Muslims keep putting nutcase in power.
In both cases, the super majority have latent hate in them so they quietly support extremists while maintaining a nice outward face.
Edited by yenmor, : No reason given.