My mother is Polish and came here in the fifties. She worked hard for the inland revenue all her life, speaks perfect queens english and to all intents and purposes is more British than British. Her experience is typical of the Polish community. In short, you are talking a load of unsubstantiated racist and offensive bullshit
I'm not a Muslim but I used to work in a Eritrean area and those Muslims I've met were thoroughly integrated. They looked behaved and sounded the same as native Brits, except in that the girls tended to wear headscarves and didn't screw around or get drunk. You clearly get your information from the Mail or something.