  We elucidate the mechanism by which a Mott insulator transforms into a
non-Fermi liquid metal upon increasing disorder at half filling. By correlating
maps of the local density of states, the local magnetization and the local bond
conductivity, we find a collapse of the Mott gap toward a V-shape pseudogapped
density of states that occurs concomitantly with the decrease of magnetism
around the highly disordered sites but an increase of bond conductivity. These
metallic regions percolate to form an emergent non-Fermi liquid phase with a
conductivity that increases with temperature. Bond conductivity measured via
local microwave impedance combined with charge and spin local spectroscopies
are ideal tools to corroborate our predictions.
