Montana
Champion
The Brubaker arcs were "Winter Soldier" & "Death of Captain America"......The Marvel "Civil War" event happened in between, with Mark Millar primarily writing the framework of that arc, and individual writers doing their characters spin offs, during it.
So yeah, it kind of all happened together....as it all took place within Brubakers time on Cap, but they're separate arcs.
In fact now that I think back to reading it in trade paperback form....they're all kind of intertwined....so I'd read a couple issues fpm Brubaker Winter Soldier, then Millar Civil War, then a issue or two of Brubaker then back to Civil war......just so the stories all aligned chronologically.
...and I only did that with Cap & Civil War.....if you truly wanted to read the entire story, you had to do that with like 5 or 6 other comics/trades.