What is the correct term and schematic symbol for a bar "connecting" multiple toggles together?
Multiple switches that are physically ganged together could be represented with a dashed line between the individual throws, like this:







simulate this circuit &ndash; Schematic created using CircuitLab

Other physical connections between switches, like the ones in your pictures, are more of a mechanical component than an electrical one, and would typically be omitted from a schematic. There is no standard symbology I'm aware of for such a thing.