I use a 6" Record machinist's vise with rubber pads made from conveyor belting material. My vise has a swivel base which gives me up to about 270 deg. rotation in either direction. I have two supports that are adjustable for height to support a long stock sticking out either left or right. I have made ~ 130 longrifles, pistols and smoothbores with this set up.
The vise you are describing reminds me of a carpenter's vise.