DETROIT — Over and over, Nedal Al-Hayk and his wife traveled up to three hours by bus from their temporary home in Jordan to an office where U.S. Homeland Security officials put them in separate rooms and asked them many questions in many different ways: Where were you born? Where were your parents born? Were you part of a rebel group? Were you politically outspoken?Finally, nearly three years after the Syrian couple fled their war-ravaged homeland, they and their two young children arrived in the Detroit suburb of …