This work presents ANCM-X, an advanced multi-layer adaptive nuclear-conductive matrix engineered for stable electrical conductivity and structural integrity across extreme thermal ranges. The system integrates ultra-high-temperature ceramics, cryogenic conductive structures, graded neutral buffer layers, and embedded AI-driven sensing architecture. Theoretical modeling, thermal cycle simulations (1000 day-night cycles), regression-based predictive stability modeling, and structural compounding methods are presented. The framework demonstrates feasibility for aerospace, energy, defense, cryogenic infrastructure, and high-temperature industrial applications. Keywords: ANCM-X, Ultra High Temperature Ceramics, Cryogenic Conductivity, AI-Integrated Materials, Smart Materials, Multi-Layer Thermal Systems