  The interplay of nematicity and superconductivity has been observed in a wide
variety of quantum materials. To explore this interplay, we consider a
two-dimensional (2D) array of nematogens, local droplets with $Z_3$ nematicity,
coupled to a network of Josephson junction wires. Using finite temperature
classical Monte Carlo simulations, we elucidate the phase diagram of this model
and show that the development of superconducting correlations and the
directional delocalization of Cooper pairs can promote nematogen ordering,
resulting in long-range nematic order. We obtain the transport properties of
our model within an effective resistor network picture. We discuss these ideas
in the context of the 2D electron gas at the (111) KTaO$_3$ interface and the
doped topological insulators Nb$_x$Bi$_2$Se$_3$ and Cu$_x$Bi$_2$Se$_3$. Our
work makes contact with Phil Anderson's numerous contributions to broken
symmetries driven by the saving of kinetic energy, including double exchange
ferromagnetism and the interlayer tunneling theory of high $T_c$
superconductivity.
