The present paper mainly focuses on the analysis and multi-factor optimization of cutting process parameters in turning Hastelloy C-276 using an integrated approach of Weighted Aggregated Sum Product Assessment (WASPAS) and criteria importance through inter-criteria correlation (CRITIC). To achieve this objective, a design of experiment (DoE) is employed for the three control parameters: cutting speed, feed rate, and cutting depth. The insert used for turning is a coated carbide insert (PVD: Ti-Al-N). Different responses are recorded: force, tool wear, and surface roughness in machining attributes, chip structure, chip thickness, chip thickness ration, shear angle, and friction coefficient in chip-tool interface indices. Uncertainty probabilistic study depends on Monte Carlo (MC) method applied. From the experimental results, the most impactful processing variable for force is cutting depth, surface roughness, and chip-tool interface indices are feed rate while cutting velocity for tool wear. The optimized results are a cutting speed of 70m/min, a feed rate of 0.10mm/rev, and a depth of cut of 0.4mm. Abrasive wear, micro-chipping, thermal spots, and notch wear are the leading causes of tool wear at 292μm with a roughness value of 2.25 μm. Also, the confirmation test showed 10% in predicting error in determining optimal parameters. This paper’s originality to the works is integrating the machinability and chip-morphology indices for process optimization through CRITIC and WASPAS methodology for the first time.