Person living in Norway here:
No, being an immigrant doesn't make you a criminal.
However, statistically speaking certain crimes are very much overrepresented with certain cultures.
I'm not saying Europeans are perfect: a lot of bad stuff existed when I was young.
But there where certain things that just didn't exist.
It is scary to see the coming of a culture were rape is ok, honour killings are ok (as told by immigrants who speak up) etc etc.