The vote itself may have inflamed racial tensions but it is disingenuous to put any blame to ordinary people on either side.
1)
Some people in the Leave camp suggested that foreign people are evil and should be ejected from our country
2)
Some people in the Remain camp suggested that everyone who is white working class British should shut up because they are thick and racist and their lives and problems don't matter
3) The likes of the BNP existed long before the EU referendum and even though their press profile has diminished in recent years they haven't gone away. They're still here and are just as nasty and obnoxious as they used to be
4)
Some of those who support BNP style politics may have ended up in UKIP
5)
Some of those in UKIP may have genuine concerns about uncontrolled immigration without being racist
6)
Some of those in UKIP may have genuine concerns about the direction of the EU and believe that its mandate has far overreached beyond a trade organisation, and not really give a toss about immigration, and are not racist
7) (back on topic) Public figure in union is assaulted at demonstration by people who disagree with him - simple criminal incident which should be dealt with by normal criminal procedures - has absolutely nothing to do with Leave or Remain voters
The rise to the forefront of the national discussion of our status in the EU may have given those already predisposed to racist nastiness an excuse to show it, but they would have that predisposition anyway.
Result 52% Leave 48% Remain
Nasty child: "Get out of our country, my Dad says most of us want you to leave"
Result 40% Leave 60% Remain
Nasty child: "Get out of our country, my Dad says a lot of us want you to leave"
None of this suggests either side of the vote has any responsibility for this, it's just a side effect of it happening in the first place. Shame, but some will always abuse a legitimate democratic process for their own twisted ends.
Leave voter - in much agreement with
@Bromley boy on here - but he expresses it better than I can.