I have a couple of points to add to this.
1. A very relevant issue here is that of the radicalization of inmates serving time in British prisons. Tommy Robinson alluded to it in a recent interview. What's happening is extremely dangerous and should concern us all.
What you have now are moderate Muslims or rather, British-born Asians that barely practice Islam, being turned after they are locked up for relatively minor offences. Tommy has visited several prisons and reports that the visiting Imams (many of whom genuinely preach a more moderate message) are mocked by prisoners. They are considered stooges.
2. Universities are in a similar situation. An incredibly high number of "European" terrorists are converted to extremism by an islamist society at university. It's quite unbelievable that we sit back and let this happen. Anyway, a lot of young British Pakistanis don't follow the religion. I remember at university they (well the boys) were drinking, smoking and fucking around like the rest of us. You might think this is a good thing and I'd be inclined to agree. The less Islam in our society the better.
However, there's a catch to all this. The jihadi groups target these more rebellious kids in particular and a plant a seed in their mind:
Your lifestyle is haram. You are going to hell unless you commit to the holy jihad.
Therefore, you have a nice and normal Asian kid one minute, terrorist killer the next. It's terrifying. You can't accurately predict who is going to radicalize. And even after radicalizing, it's increasingly impossible to monitor them all (radicalization alone is not a crime). We don't have the resources.
Think we have it bad now? Think again. This is a huge ticking demographic timebomb that has barely even started yet. Numbers of "European" radicals are increasing by the year like a cancer. The real fun and games begin after the 2nd and 3rd generation immigrants. Terror attacks will eventually become a nearly daily event in Europe.
As hardline and unfair as it may be, the only long-term solutions to this are very strict controls over Islam, permanent deportation of "European" radicals and NO MORE ISLAMIC IMMIGRATION.
It doesn't matter how many "intercultural discussions" you have or how many nice British imams say the right thing. The solutions are simple and remain the same. I will always advocate for non-violent ones. Others will not be so reasonable. Either way, as time goes on, public opinion will shift more and more to an overtly anti-islamic stance. I just fear that it may already be too late by the time that happens.
P.S I highly recommend watching Tommy's interview. Required viewing for anyone wanting to know the real situation unfolding.