  We explore in detail the electronic phases of a system consisting of three
non-colinear arrays of coupled quantum wires, each rotated 120 degrees with
respect to the next. A perturbative renormalization-group analysis reveals that
multiple correlated states can be stabilized: a $s$-wave or $d \pm id$
superconductor, a charge density wave insulator, a two-dimensional Fermi
liquid, and a 2D Luttinger liquid (also known as smectic metal or sliding
Luttinger liquid). The model provides an effective description of electronic
interactions in small-angle twisted bilayer graphene and we discuss its
implications in relation to the recent observation of correlated and
superconducting groundstates near commensurate densities in magic-angle twisted
samples, as well as the ``strange metal'' behavior at finite temperatures as a
natural outcome of the 2D Luttinger liquid phase.
