Based on the provided reference, the answer is no.
The Egyptians are not Arabs, and both they and the Arabs are aware of this fact. They are Arabic-speaking, and they are Muslim—indeed religion plays a greater part in their lives than it does in those either of the Syrians.
In essence, while Egyptians may share cultural and religious similarities with Arabs (such as speaking Arabic and being predominantly Muslim), their identity is distinct. The reference emphasizes that both Egyptians and Arabs recognize this distinction.