I’m white and, for the most part, if I see ‘Police’ on a car behind mine I’m concerned. If I see “Sheriff” I’m less concerned. If I see a Wyoming state trooper I’m usually not worried at all.
I,too,am white and the only time I'm even slightly concerned on spotting a cop is when I'm behind the wheel or crossing the street.
Behind the wheel because I'm known to do about 5mph over the speed limit on Interstates and because I don't always come to a complete stop at stop signs and I sometimes push it a bit trying to beat a yellow light.
On crossing the street because I'm sometimes known to jaywalk.
Apart from that spotting a cop doesn't quicken my pulse even a little bit (unless,of course,she's particularly hot).