Thermophilic and mesophilic proteins exhibit distinct responses to temperature variations, a critical aspect of their biological functionality. Understanding the microscopic mechanisms governing protein stability and flexibility at different temperatures is essential. Vibrational energy transfer within proteins plays a pivotal role in their diverse biological processes. We employed vibrational energy diffusivity methodology to investigate this phenomenon. Molecular dynamics simulations were conducted at multiple temperatures such as 308, 325, and 350 K, revealing that fluctuations persist in both thermophilic and mesophilic proteins. To delve deeper into the system's stability, we constructed frequency-resolved communication maps, highlighting key residues involved in energy transfer pathways. Our results identify highly active residues that influence protein stabilization or destabilization. Furthermore, the role of salt bridges and non-covalent interactions in protein stability is explored. Our findings offer insights into the relationship between protein activity and thermal resistance, contributing to a comprehensive understanding of thermophilic protein's behavior at different temperatures. This study provides valuable insights into the protein's flexibility and stability, shedding light on the mechanisms that underpin their biological functions.