SmallchangerainThis attaches directly to your camera eyelets, so it should be fine. If it's the new attachment anchors, then they should be thin enough to fit under the Uno's quick release plate.
SmallchangerainI didn't know wha the Bgrip system was and had to look it up. Yes this should work fine with it, if your connecting the strap to the plate. You are using a swiss arca setup.