Abstract We incorporate recent data constraints from the 2018 InSight mission into two rheology yielding mechanisms to calculate the plastic (brittle) and viscous (ductile) yield stresses for 30 potential lithospheric scenarios of the Martian lithosphere. Through these calculations, we produce estimates for the depth of the transition from brittle to ductile deformation for each scenario. We systematically test 7 parameter groups and find that the most common result is a strong brittle lithosphere that produces a deep (>150 km) brittle‐ductile transition (BDT), while scenarios with Moho temperatures ≥700 K produce shallow, crustal‐scale BDTs. Finally, we present our reference calculation as a 2‐D lithospheric numerical model under horizontal shortening and show the resulting deformation to produce regional‐scale surface faults controlled by a deep lithosphere‐scale thrust. Our findings have broad implications, demonstrating the potential for deep, brittle faulting hidden beneath the Martian surface.