The phrase "disturbing the balance" can be replaced with various synonyms depending on the context. For instance, the term "disrupting harmony" can be used when talking about the disruption of peaceful coexistence. The phrase "upsetting the equilibrium" can denote a change that causes a state of imbalance or instability. "Destabilizing the status quo" suggests a disruption to the existing state of affairs, while "throwing off balance" can imply the introduction of an unwanted variable. Other options include "undermining stability," "jeopardizing equilibrium," and "unsettling the norm." Whatever synonym is used, a clear understanding of the context can help one to choose the appropriate word.