I'm mixed race and the sad answer is yes you do.
However it's not a simple question of media stereotypes. A Somali, scarf wearing friend of mine was badly beaten last year in Stratford, East London by a group of Muslim men while the public looked on outside the station in the middle of the day. This was because she's been seen a few times walking with white & black female colleagues without head coverings. At her families request since coming out of hospital and recovering from her attack, she no longer goes to Stratford.
I'm about to move to an area where the census tells me the % of ethnic minorities is 0.19 % (I think DS & I will bump that up a bit lol!) yet don't anticipate any problems at all, as we already spend a lot of time there.
It's also very fluid - back in the 80's where I lived up until last year in London was an NF stronghold. It was not great fun being the ONLY ethnic minority at primary school when the dinner ladies used to tell other kids not to play with you! However by the time I left last year DS was fortunate enough to be raised in a totally diverse environment and have friends from several religious, racial and cultural groups - his primary experience was race blind and in the very best way. That same area has changed out of all recognition for the better, though a few dinosaurs remain in odd outposts of local services.
I've never had any problems in Milton Keynes, but my Romanian ex and his flatmates were subjected to levels of abused that truly surprised me when he stayed there for work for a while. I had to rearrange contact with my son so that he could see him in London as at the time they both enjoyed going to parks together and sadly I agreed with his Dad that a simple picnic and trip to the swings might not be safe in MK.
It's a very fluid and complex picture, further complicated by socio economic status. An example of that is the resentment of the council tenants towards their richer incoming neighbours when the Isle of Dogs was gentrified. Tbh this is & not race is a larger risk factor for potential trouble in many cities with all these crazy new developments being thrown up, house prices shooting through the roof and families that have attended the same school for generations suddenly being unable secure places for the newest generation, or decent housing.