The ongoing inquiry aims to analyze stagnation point flow characteristics of magneto-hydrodynamic (MHD) Cason-Williamson hybrid nanofluids over an exponentially stretched cylinder, incorporating phenomena like viscous dissipation and suction/injection effects, as no prior investigation has been conducted on it, which represents the distinctiveness of the flow model. To facilitate analysis, the original partial differential equation (PDE) formulation of the flow model is transformed into non-dimensional ordinary differential equations (ODEs) employing dimensionless quantities, a process facilitated by the MATLAB bvp4c approach. Various non-dimensional variables are examined for their impacts on velocity profiles, temperature distribution, shearing stress, and Nusselt number. Results conveyed through graphs and detailed tables show thermal profile enhancement with escalating Weissenberg, Eckert, and Biot numbers for Casson Williamson hybrid nanofluid. Increasing copper nanoparticle volume in this fluid raises friction drag compared to the Casson hybrid nanofluid, with a 9% enhancement in shear stress. Conversely, the heat transport rate is reduced by about 1.5% for Casson Williamson hybrid nanofluid compared to Casson hybrid nanofluid. These findings significantly advance fluid dynamics and nanofluid exploration, offering opportunities for improved heat and mass transmission in various industries.