Thank you for the more elegant way to express it.If you're writing for someone who's very particular about English that sounds 'polished', I wouldn't recommend either, Nurdug. Instead I'd use a verb phrase:
They want to live the way they do in their home country or
They want to live as they do in their home country
I suspect some people would consider ... live like they do ... 'inelegant'.
It isn't.Erm ... so how come like they do at home is okay then, GWBGE? (Or isn't it?)