I was thinking it was a misquote of the pledge of allegience.
“...liberty and justice for all”
BTTT
Sorry, but it seems to me he wasn’t quoting anything, so you can’t attack Brokaw on that. He was probably just generalizing on what he saw as the founding principles.
Which actually in certain light isn’t wrong. It’s just certain phrases have become charged with certain meanings. Taken as straight English, though, the terms aren’t far off.