  Two dimensional crystals melt via an intermediate \textit{hexatic} phase
which is characterized by an anomalous scaling of spatial and orientational
correlation functions and the absence of an attraction between dislocations. We
propose a protocol to study the role of quantum fluctuations on the nature of
this phase with a system of strongly correlated polar molecules in a parameter
regime where thermal and quantum fluctuations are of the same order of
magnitude. The dislocations can be located in experiment from local energy
differences which induce internal stark shifts in dislocation molecules. We
present a criterium to identify the hexatic phase from the statistics of the
end points of topological defect strings and find a hexatic phase, which is
dominated by quantum fluctuations, between crystal and superfluid phase.
