Ionic solids do not conduct because the atoms are typically bound too tightly to a crystal lattice for anything to function as mobile charge carriers. Mobile charge carriers are available in metal because metals can easily change oxidation states allowing electrons to move; whereas, most ions cannot easily change state.
Ionic liquids on the other hand have both mobile cations and anions which can serve as charge carriers possibly resulting in moderate conductivity.
As far as bonding the bonds in ionic liquids are constantly breaking and reforming just as in all liquids.
There are no bonds between gas particles. Gasses are poor conductors; however, if the gas ionizes turning into plasma then the electrons are free to be charge carriers making the gas a conductor.