The thing is, people didn't really care about race the way we do now. They were more focused on culture and nationality than skin color. The ancient Egyptians themselves were a very diverse people, as were many civilizations in the past such as the Mongols, and Romans, which is why people back then had a tendency to focus more on someone's culture and nationality. Back then what seemed to have mattered most was what language you spoke, who you prayed to, and who you paid your taxes to :P But to answer your question, they did view their culture as more civilized than their neighbors, but they didn't see themselves as semigods, and intermarriages were extremely common. There's records of marriages between Egyptians and Berbs, Romans, Greeks, Jewish people, Hittites etc.