At least those people are consistent. There are plenty who would be okay with people coming from other countries if they looked like them.
As an Englishman, "at least you bothered to learn the language" tickled me pink; but "you know what I mean" really stood out to me. Yes, we do know exactly what they mean, but they'll entirely deny meaning it.
I realise the plural of anecdote isn't data, but there's certainly at least "some" people who feel that white immigrants are acceptable immigrants. This was during the late-bush/early-obama period, so I'm poorly placed to judge whether the scale of this has changed.
Looking like your new neighbors doesn't help if they are determined to keep you as 'other', just look at the plight of the Oklahomans in Grapes of Wrath, or the Burakumin in Japan.