I think there is certainly work to be done -- what the "milk-and-water multiculturalists" presumably will have to do is accept that this survey highlights problems that have to be addressed rather than ignored.
On the other hand, people who argue that Muslims can never be integrated into British society might be equally well-advised to note that (from the full survey results at
http://www.icmunlimited.com/data/media/pdf/Mulims-full-suite-data-plus-topline.pdf ; I've tried to cite relevant tables and questions through the following as there are fully 615 pages of tables in that link!):
1) 86% of Muslims feel a strong affinity for Britain (Table 4). While the target is clearly 100%, it seems that there is engagement possible. Most, also, seem to expect to be treated the same as everybody else.
2) Of the 4% (40) who sympathise with terrorists, 35 only did so "to some extent", which is a little ambiguous; and 83% condemned such action (Q22f). Indeed, in general any action beyond non-violent protest was largely condemned; including condemnation of both ISIS and its methods. Again, this means that there is work to be done, but that there can be some hope of its being successful. On the other hand, the overwhelming majority of Muslims are uptight about publishing pictures of any kind about Muhammed. (Q25, Q26).
3) While "Only 34% would tell the police if they thought someone they knew was getting involved with supporters of terrorism in Syria", almost half of all respondents thought that Muslims should do more themselves to tackle extremism (Table 109) (and half of the rest didn't know), and many of those who wouldn't tell police would still try and talk to someone about it.
Separately, it's worth comparing the Muslim-specific survey to a control group, as ICM actually did, and I summarise some results below:
on affinity for Britain: 86% Muslim, 83% control.
on illegality of homosexuality: 52% Muslim, 11% control.
on illegality of homosexual teachers: 47% Muslim, 14% control.
on wives obeying husbands: 39% Muslim, 5% control (of which mostly Christian or (bizarrely, to me) atheist).
on reporting terrorist suspects to police: 34% Muslim, 30% control.
Disregarding the last statistic, it's clear that Muslims in general are lagging behind the rest of society on various important issues, but this should be seen in the context that only 20-odd years ago the rest of society was in a very similar place. Trends available from the US (http://www.gallup.com/poll/1651/gay-lesbian-rights.aspx ), for example, show that Americans as a whole have, or had recently, a broadly similar stance on homosexual teachers and on homosexuality (it took until 2001 for a majority of respondents to accept that it should be legal); in the UK I've not been able to find trends on the legality question, but again it was only in the mid-1990s that a majority accepted that such relations were not "always wrong" ( eg
http://www.brin.ac.uk/figures/attitudes-towards-gay-rights/ ). The situation in the US is of course weighted by the importance there of conservative Christianity, but the general picture is that Muslims may "only" be a generation or so behind us on social issues.
As a result, I don't think the task of integration is so hopeless. How we go about it is anyone's guess, but if we see the challenges we have to recognise also the positives of the survey above, and use those as a starting point. Most Muslims don't seem to want to be excluded. Having said that there is often only minor difference between Muslims born here and those born elsewhere. But I've run out of characters now.
* * * *
As an interesting collection of "What?!" statistics, 8 Christians said that they sympathised with suicide bombing, 10 with stoning adulterers, 11 that they supported creation of a caliphate, and 3 with the methods of ISIS. My own take on those numbers is that a small number of people weren't taking the survey entirely seriously.