The SARS-CoV-2 primase complex, composed of nonstructural proteins 7 and 8 (nsp7–nsp8), is indispensable for viral RNA replication and represents one of the most evolutionarily constrained components of the viral replication machinery. We hypothesized that structural features preserved despite global viral evolution may underpin conserved host-pathogen interactions that can be exploited therapeutically. To investigate this, we integrated population-scale mutation surveillance, structural bioinformatics, affinity-purification mass spectrometry, quantitative proteomics, structural modelling, and functional validation to characterize the biological consequences of nsp7–nsp8 expression. Evolutionary analyses of globally circulating SARS-CoV-2 variants identified mutation-tolerant regions alongside structurally constrained interfaces predicted to be essential for primase complex stability and function, supporting the conservation of critical molecular features despite continuous viral diversification. Guided by these findings, we systematically investigated the host proteomic landscape associated with nsp7–nsp8 expression and identified coordinated remodeling of host molecular networks and cellular programs, supported by complementary structural analyses. Functional validation further demonstrated that these systems-level perturbations reveal a previously unrecognized host therapeutic vulnerability, where pharmacological modulation of a prioritized host pathway produced potent antiviral activity and enhanced efficacy when combined with an approved antiviral agent in a SARS-CoV-2 replicon model. Collectively, this study establishes an evolution-informed systems biology framework linking structural conservation of an essential viral replication complex with host-cell reprogramming and therapeutic intervention, providing a strategy for identifying host-directed antiviral targets that remain resilient to viral genetic variation.