We propose an efficient physics-based mixed-mode statistical simulation methodology for nanoscale devices and circuits. Here, 3-D Technology Computer Aided Design models pose a barrier for efficient simulation of variability as they generally involve millions of nodes in their mesh representations. The proposed methodology, which has been implemented for FinFET/tri-gate static random access memory (SRAM) design, overcomes this barrier by leveraging advanced physics-based 2-D (P2-D) devices with optimized meshes that are derived from 3-D FinFET models with tuned device parasitics. This enables physics-based simulation as well as physics-based variability input parameters. To improve accuracy, an embedded automated flow enables extraction of all external nodal parasitics, directly from a 3-D FinFET circuit layout representation. The circuits consisting of advanced P2-D devices are then back annotated with the nodal parasitics to enable fast and accurate SRAM dynamic margin mixed-mode simulations. Results demonstrate up to 200x speedup compared with traditional 3-D device simulations, and around five orders of magnitude wall clock time improvement on account of fast statistical methodologies, which are superior in comparison with traditional Monte Carlo analysis. This makes it feasible to supplant often inaccurate compact model-based simulations by true mixed-mode device simulations in statistical engines. The proposed physics-based methodology is also shown to corroborate well with hardware measurements.