Stereotyping can be a problem but I think it is universal.
I spent 5 months travelling in USA (15,000 miles) the result I don't like Americans. Having said that I have some very good friends who are Americans.
We live in Spain. The UK media is constantly harping on about 'The Costa Del Crime' implying that, many of us, are criminals. The relatively few Brits who get into trouble here, tends to make us feel we are all being considered as a problem in some way.
I am on the point of taking up Irish Nationality. Last week's headlines here were commenting on 'The Irish Mafia' who is active on the coast. Guess when 'I am Irish' that will include me !
My children in UK were very pleased when I decided not to continue my relationship with a Thai lady but look for a wife in the Philippines as 'All Thais are prostitutes' but 'All Filipinos are nurses.'
I guess at the end of the day we must try to show by example that who ever we are, good, bad or otherwise; we are individuals and should be judged as such.