I have a Parrot vise mounted on a 1'x6" board about 2' long. I clamp this board to a table top with a couple common wood clamps (could be C clamps too). This provides a much more sturdy anti twisting resistance compared to a single point clamp on the imaged Stanley vise. For simple bit holding services when little stress/force is being applied (I think of tying fishing flies as example) the Stanley vise should be fine. But for any forceful efforts (freewheel removal comes to mind) these single clamp mounted vises will not play nice, step up and do the job a solidly mounted vise can.
I would not choose this type of vise for heavy work too but the idea of mounting a vise to a mobile board that can be better secured to household tables is a neat one. Andy