Privilege is not encoded into law, it's the little things. I haven't crossed the Canadian border in years, but used to do so with relative frequency. One thing we knew for sure was that coming back to the US, being white meant you didn't get hassled at the border. The law wasn't any different, but if you were white you'd get little more than a wave through. Some of that may have changed, but at least as recently as the 90s it was very much true.
As to black on black crime, you are correct. That has little relevance to the point.
For some historical reference, perhaps you could follow this link.
LiveLeak.com - Absolutely Horrific-The Reginald Denny and Fidel Lopez Beatings
At the end of the day, the "White Privilege" meme has more to do with directing the focus on something other than the failure of liberal/progressive policies that have plagued minority communities. Imagine how pleased these communities are to see the red carpet rolled out to illegal aliens who will continue the game the left has been playing for decades.
To her Wall Street owners: Hillary Clinton: “But if everybody's watching, you know, all of the back room discussions and the deals, you know, then people get a little nervous, to say the least. so, you need both a public and a private position.” - Hillary Clinton: "I'm kind of far removed from the struggles of the Middle Class"
On the other, I do not think any law can change what is in a person's heart. Laws can hide one's true feelings and actions.
Early voting in Georgia. On the 20th of October this old Goldwater conservative voted against both Donald Trump and Hillary Clinton by casting my vote for Gary Johnson. Neither Trump or Clinton belong within a million miles of the Oval Office.
I wouldn't call it white privilege. I'd call it discrimination against minorities. And yes, that does exist.
If you build a man a fire, he'll be warm for a day.
If you set a man on fire, he'll be warm for the rest of his life.