Bricks are for decorative purposes nowadays (pretty siding). They aren't practical as you won't meet code for insulation. You will also need to frame another interior wall for vapor control.
Even in 100 year old brick houses (like the 1920s craftsman I once owned), the brick is almost always non-structural. Only in old urban commercial buildings do you typically find structural bricks.
Structural bricks absolutely suck if you are in a high earthquake risk zone. Earthquakes or slumping really screw up brick buildings (and brick façades).
Brick houses also hold their value well.
No one cares about a brick facade.
Also why do you say bricks aren't structural? I assumed those 100 year old brick houses used bricks for structural support.