The number of people who, when I mention that I immigrated, say 'I hate immigrants, they all steal, harrass our womenfolk' etc is rather large. I'd imagine only a few of them are Daily Mail readers.
To think that people behaving like dicks doesn't reflect badly on other immigrants is a little naive, I think. In an ideal world we'd all be judged individually on our merits...
Same logic, innit.