No, sorry you cannot unfortunatly and this is leading to the raise of extrem right ideas down here.
I had a lot of friends at school 20 years ago, from different origins, like italians (a lot), spanish or portuguese, and from north africa (morocco, algeria and tunisia). But only the muslim ones did not want to get integrated to the french society. It is a big shame by the way as when you are a kid, you are more tolerent than being adult ... To prove it, I would say : see at every soccer world cup what happens. If France is playing their own parent's country of origin, most of the european immigrants will support their new country. North african won't ! See all the mess during last WC when algeria qualifyed to 1/8th ... Their own team won and they went in the streets of France riotting !!! How can you tolerate this in your country ?
In 2001, we played Algeria in a friendly match. The crowd was essentially algerian/french and they went to boo the french anthem : https://www.youtube.com/watch?v=I0RrhBrMXbw is it normal ?
And again, you could say that we did not do anything to integrate them ... But I will again reply, why did the italians, spanish and portuguese succeed to integrate french society, having the same conditions when the all arrived here ?
But you can.
Look at the USA. It has very nearly as many Muslims as the UK, but how much trouble has it had? How many men have slipped away to fight on jihad? Comparatively, the answer is "Not many".
The reason? American Muslims, mostly don't live in ethnic ghettos. They're not like Algerians in France, the Pakistanis and Bangladeshis in England, the Turks in Germany and Holland. They're not poor like those guys. American Muslims are more likely to be in a long term inter-faith relationship than Mormons.
What you are pointing at is a failure to integrate, not the impossibility of integration. I'm not wagging fingers or condemning here. Most of western Europe has failed, including my country. Europe has a history of migrant populations that simply fade into their host nation's general make-up, leaving behind nothing but a few funny surnames and dishes in five generations time.
But the Muslim migrations came over here with vastly different ideals. Most of them came over here incredibly poor. They have clustered together and stayed clustered together. They have been victims of racism in a way that I don't believe your Portuguese/Italian/Spanish populations have been - and I know England's Portuguese/French populations haven't been. Why would they want to get integrated with a society that mainly gives them ****? These kids grow up and think the country they live in despises them, it despises the values they get from their parents, and they look for new identities. They grow up with problems, and like so many kids with problems, they look for ideologies that tell them their problems aren't their fault.
I'll tell you what, you'd better hope I'm right, because the alternative is mass-deporting these people, and I don't really think thats possible.