Final answer:
The likely consequence of a disease that destroys the beta cells of the pancreas is diabetes mellitus, which leads to increased blood glucose levels and various homeostatic imbalances.
Step-by-step explanation:
The likely consequence of a disease that destroys the beta cells of the pancreas is a condition called diabetes mellitus. In this condition, there is either insufficient insulin production or impaired insulin function. Without enough insulin, glucose cannot be properly utilized by the cells, leading to increased blood glucose levels or hyperglycemia. This can cause various homeostatic imbalances, such as damage to blood vessels, kidney disease, imbalances in mineral ions, and cardiovascular disease.