Yes.

And if you want a more clear war where we directly fought brown people. Look at all the land we took from Mexico.

The reality is, if you boil these wars down, they will always be white people fighting other white people. Because, well, for most of human history white people have been in power virtually everywhere, so the only fights that weren't essentially instantly won were fights between whites. Back when people wouldn't even consider Spaniards or Italians "whites."