The polls finding that some ludicrous % of British Muslims supported IS are very misleading and I believe that the paper issue an apology later for misleading people.
I would be astonished if more than a very small % of British Muslims actually supported or sympathized with IS.
Soft extremism, however, is a genuine concern. Just because someone does not support IS does not mean that they hold enlightened views on women's/gay people's right to sexual autonomy, on the rights of people to leave Islam, on whether women are inferior to men and so forth.
Most of what IS does is pretty much a literal and simple interpretation of the Koran. Just being honest, really. I don't think most Muslims support such stances, and I am not claiming that the Bible is that much better (not that I am Christian anyway). But the destruction of images, the taking of sex slaves... they are not getting this out of thin air, seriously.
As for this
"Refugees do not want to 'islamify' their host countries. They want to get the hell away from bombs and dictators. They want to go to school and university or have a job. They want their children to be safe. They want to go to work and come home and have their tea and do all the things we take for granted. They are not people to be afraid of. "
.... I am fascinated to learn that Emily apparently has mind-reading abilities giving her intimate access to the thoughts, values of aspirations of three million-plus people.
How on earth can you generalize about so many people? I don't think many jihadists will have got through, but I'd be surprised, statistically, if none whatsoever have. And even of the majority who are not jihadists and would not dream of becoming one, I suspect that many or most probably hold views on gay people, women and so on which are not exactly politically correct by Western standards.
This is a complicated issues, and the kind of naive sentimentality which portrays all migrants as doe-eyed, innocent heroes is really not helpful.