The game I DM has a 12th lvl dwarf fighter with 20 Str, 20 Con, and 15 Wis. His Int/Dex is low but he uses a heavy shield to make up for it. So no, this high Con fighter is not sacrificing Str or Wis.
He started as a Weapon Talent fighter, then switched to BRV when MP came out. He didn't change a thing except the class feature, and even kept his scale mail. BRV made his fighter way better than it was before. He lost +1 to hit and gained insane amounts of survivability. In the few sessions he was a BRV that +1 to hit mattered only once or twice.