If I add Cocology to hot coffee will that destroy the active vitamins and antioxidants?

Coffee or any other hot beverage will not destroy the active ingredients. The protein used along with the purified water and oil emulsion forms a stable encapsulation that protects the active ingredients. The protein would degrade first and you would see that as precipitate/solids forming in the hot beverage. This would only happen if you microwaved your drink for a really long time.